Martynyuk, Anatoliy; Stamov, Gani; Stamova, Ivanka; Martynyuk-Chernienko, Yulya On the regularization and matrix Lyapunov functions for fuzzy differential systems with uncertain parameters. (English) Zbl 07804393 Electron. Res. Arch. 31, No. 10, 6089-6119 (2023). MSC: 93D30 93C42 PDFBibTeX XMLCite \textit{A. Martynyuk} et al., Electron. Res. Arch. 31, No. 10, 6089--6119 (2023; Zbl 07804393) Full Text: DOI
Martynyuk, Anatoliy; Stamov, Gani; Stamova, Ivanka; Martynyuk-Chernienko, Yulya Regularization scheme for uncertain fuzzy differential equations: analysis of solutions. (English) Zbl 07804317 Electron. Res. Arch. 31, No. 7, 3832-3847 (2023). MSC: 34A07 34A12 41A99 PDFBibTeX XMLCite \textit{A. Martynyuk} et al., Electron. Res. Arch. 31, No. 7, 3832--3847 (2023; Zbl 07804317) Full Text: DOI
Martynyuk, A. A.; Chernienko, V. O. Stabilization of the motion of nonautonomous polynomial systems. (English. Ukrainian original) Zbl 1521.34064 Int. Appl. Mech. 57, No. 5, 524-533 (2021); translation from Prikl. Mekh., Kiev 57, No. 5, 35-45 (2021). MSC: 34D10 37C60 34H15 PDFBibTeX XMLCite \textit{A. A. Martynyuk} and \textit{V. O. Chernienko}, Int. Appl. Mech. 57, No. 5, 524--533 (2021; Zbl 1521.34064); translation from Prikl. Mekh., Kiev 57, No. 5, 35--45 (2021) Full Text: DOI
Stamov, Gani; Stamova, Ivanka; Martynyuk, Anatoliy; Stamov, Trayan Almost periodic dynamics in a new class of impulsive reaction-diffusion neural networks with fractional-like derivatives. (English) Zbl 1498.92018 Chaos Solitons Fractals 143, Article ID 110647, 8 p. (2021). MSC: 92B20 35Q92 PDFBibTeX XMLCite \textit{G. Stamov} et al., Chaos Solitons Fractals 143, Article ID 110647, 8 p. (2021; Zbl 1498.92018) Full Text: DOI
Martynyuk, A. A.; Chernienko, V. A. Estimating the Lyapunov function and stability of motion of a system with equations of motion with an asymptotically expanded right-hand side. (English. Russian original) Zbl 1462.34082 Int. Appl. Mech. 57, No. 1, 11-18 (2021); translation from Prikl. Mekh., Kiev 57, No. 1, 20-28 (2021). MSC: 34D08 34D05 PDFBibTeX XMLCite \textit{A. A. Martynyuk} and \textit{V. A. Chernienko}, Int. Appl. Mech. 57, No. 1, 11--18 (2021; Zbl 1462.34082); translation from Prikl. Mekh., Kiev 57, No. 1, 20--28 (2021) Full Text: DOI
Martynyuk, A. A.; Chernienko, V. O. On the problem of stability of a motion of essentially nonlinear systems. (Ukrainian. English summary) Zbl 1474.70038 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2021, No. 2, 3-12 (2021). MSC: 70K20 34D08 93D30 PDFBibTeX XMLCite \textit{A. A. Martynyuk} and \textit{V. O. Chernienko}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2021, No. 2, 3--12 (2021; Zbl 1474.70038) Full Text: DOI
Martynyuk, Anatoliy A.; Radziszewski, Bogusław; Szadkowski, Andrzej Stability. Elements of the theory and applications with examples. (English) Zbl 1522.93002 Kyiv: Sciendo (ISBN 978-83-66675-27-8/pbk; 978-83-66675-28-5/ebook). xii, 314 p. (2020). MSC: 93-01 93D05 93C23 34K20 93C30 39A30 93C20 35B35 93E15 PDFBibTeX XMLCite \textit{A. A. Martynyuk} et al., Stability. Elements of the theory and applications with examples. Kyiv: Sciendo (2020; Zbl 1522.93002) Full Text: DOI
Martynyuk, Anatoliy A.; Stamov, Gani Tr.; Stamova, Ivanka M. Fractional-like Hukuhara derivatives in the theory of set-valued differential equations. (English) Zbl 1495.34009 Chaos Solitons Fractals 131, Article ID 109487, 6 p. (2020). MSC: 34A08 34A06 26A33 26E25 PDFBibTeX XMLCite \textit{A. A. Martynyuk} et al., Chaos Solitons Fractals 131, Article ID 109487, 6 p. (2020; Zbl 1495.34009) Full Text: DOI
Martynyuk, A. A.; Stamova, I. M.; Chernienko, V. A. Stability analysis of uncertain impulsive systems via fuzzy differential equations. (English) Zbl 1485.93491 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 51, No. 4, 643-654 (2020). MSC: 93D23 93D30 93C27 93C15 34A37 93C42 93C41 PDFBibTeX XMLCite \textit{A. A. Martynyuk} et al., Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 51, No. 4, 643--654 (2020; Zbl 1485.93491) Full Text: DOI
Martynyuk, A. A.; Martynyuk-Chernienko, Yu. A. Boundedness of solutions of conformable fractional equations of perturbed motion. (English. Russian original) Zbl 1462.34015 Int. Appl. Mech. 56, No. 5, 572-580 (2020); translation from Prikl. Mekh., Kiev 56, No. 5, 56-64 (2020). MSC: 34A08 34C11 26D15 PDFBibTeX XMLCite \textit{A. A. Martynyuk} and \textit{Yu. A. Martynyuk-Chernienko}, Int. Appl. Mech. 56, No. 5, 572--580 (2020; Zbl 1462.34015); translation from Prikl. Mekh., Kiev 56, No. 5, 56--64 (2020) Full Text: DOI
Aleksandrov, A. Yu.; Martynyuk, A. A.; Tikhonov, A. A. Some problems of attitude dynamics and control of a rigid body. (English) Zbl 1483.70014 Nonlinear Dyn. Syst. Theory 20, No. 2, 132-143 (2020). MSC: 70E17 70E50 70Q05 93D20 PDFBibTeX XMLCite \textit{A. Yu. Aleksandrov} et al., Nonlinear Dyn. Syst. Theory 20, No. 2, 132--143 (2020; Zbl 1483.70014) Full Text: Link
Martynyuk, A. A.; Chernienko, V. A. Sufficient stability conditions for polynomial systems. (English. Russian original) Zbl 1441.37040 Int. Appl. Mech. 56, No. 1, 13-21 (2020); translation from Prikl. Mekh., Kiev 56, No. 1, 23-32 (2020). MSC: 37D25 34D08 34D20 PDFBibTeX XMLCite \textit{A. A. Martynyuk} and \textit{V. A. Chernienko}, Int. Appl. Mech. 56, No. 1, 13--21 (2020; Zbl 1441.37040); translation from Prikl. Mekh., Kiev 56, No. 1, 23--32 (2020) Full Text: DOI
Djemai, Mohamed (ed.); Defoort, Michael (ed.); Martynyuk, Anatoly A. (ed.) Editorial: Stability, control and observation on non-uniform time domain. (English) Zbl 1434.00043 Nonlinear Anal., Hybrid Syst. 36, Article ID 100889, 3 p. (2020). MSC: 00B15 93-06 PDFBibTeX XMLCite \textit{M. Djemai} (ed.) et al., Nonlinear Anal., Hybrid Syst. 36, Article ID 100889, 3 p. (2020; Zbl 1434.00043) Full Text: DOI
Martynyuk, A. A.; Stamova, I. M. Novel trend of mixed Minkowski volumes applications. (English) Zbl 1439.34006 Appl. Anal. 99, No. 4, 717-724 (2020). MSC: 34A06 34D20 PDFBibTeX XMLCite \textit{A. A. Martynyuk} and \textit{I. M. Stamova}, Appl. Anal. 99, No. 4, 717--724 (2020; Zbl 1439.34006) Full Text: DOI
Martynyuk, Anatoliy A.; Stamov, Gani T.; Stamova, Ivanka Asymptotic equivalence of ordinary and impulsive operator-differential equations. (English) Zbl 1479.34113 Commun. Nonlinear Sci. Numer. Simul. 78, Article ID 104891, 11 p. (2019). MSC: 34G20 34C41 34A37 47N20 PDFBibTeX XMLCite \textit{A. A. Martynyuk} et al., Commun. Nonlinear Sci. Numer. Simul. 78, Article ID 104891, 11 p. (2019; Zbl 1479.34113) Full Text: DOI
Martynyuk, A. A.; Stamova, I. M.; Martynyuk-Chernienko, Yu. A. Matrix Lyapunov functions method for sets of dynamic equations on time scales. (English) Zbl 1517.34119 Nonlinear Anal., Hybrid Syst. 34, 166-178 (2019). Reviewer: Gnana Bhaskar Tenali (Melbourne) MSC: 34N05 34A60 34D20 PDFBibTeX XMLCite \textit{A. A. Martynyuk} et al., Nonlinear Anal., Hybrid Syst. 34, 166--178 (2019; Zbl 1517.34119) Full Text: DOI
Martynyuk, A. A.; Chernetskaya, L. N.; Martynyuk-Chernienko, Yu. A. On the stabilization of the motion of uncertain affine systems. (Russian. English summary) Zbl 1438.93210 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2019, No. 9, 3-11 (2019). MSC: 93D40 93C41 PDFBibTeX XMLCite \textit{A. A. Martynyuk} et al., Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2019, No. 9, 3--11 (2019; Zbl 1438.93210) Full Text: DOI
Martynyuk, A. A.; Stamova, I. M. Stability of sets of hybrid dynamical systems with aftereffect. (English) Zbl 1435.34066 Nonlinear Anal., Hybrid Syst. 32, 106-114 (2019). Reviewer: Sotiris K. Ntouyas (Ioannina) MSC: 34K09 34K20 34K45 PDFBibTeX XMLCite \textit{A. A. Martynyuk} and \textit{I. M. Stamova}, Nonlinear Anal., Hybrid Syst. 32, 106--114 (2019; Zbl 1435.34066) Full Text: DOI
Martynyuk, Anatoliy; Stamov, Gani; Stamova, Ivanka Integral estimates of the solutions of fractional-like equations of perturbed motion. (English) Zbl 1426.34015 Nonlinear Anal., Model. Control 24, No. 1, 138-149 (2019). MSC: 34A08 26D15 34D10 PDFBibTeX XMLCite \textit{A. Martynyuk} et al., Nonlinear Anal., Model. Control 24, No. 1, 138--149 (2019; Zbl 1426.34015) Full Text: DOI
Martynyuk, Anatoliy; Stamov, Gani; Stamova, Ivanka Practical stability analysis with respect to manifolds and boundedness of differential equations with fractional-like derivatives. (English) Zbl 1481.34069 Rocky Mt. J. Math. 49, No. 1, 211-233 (2019). Reviewer: Samir Bashir Hadid (Ajman) MSC: 34D20 34C11 26A33 34A08 PDFBibTeX XMLCite \textit{A. Martynyuk} et al., Rocky Mt. J. Math. 49, No. 1, 211--233 (2019; Zbl 1481.34069) Full Text: DOI Euclid
Martynyuk, Anatoliy A.; Radziszewski, Bogusław; Szadkowski, Andrzej Dynamics and stability of motion of shock and hybrid systems. (English) Zbl 1437.74001 Kyiv: De Gruyter/Sciendo (ISBN 978-3-11-060522-8/hbk; 978-3-11-060529-7/ebook). xii, 193 p. (2019). Reviewer: Teodor Atanacković (Novi Sad) MSC: 74-02 70-02 74H55 70E50 74M20 PDFBibTeX XMLCite \textit{A. A. Martynyuk} et al., Dynamics and stability of motion of shock and hybrid systems. Kyiv: De Gruyter/Sciendo (2019; Zbl 1437.74001)
Martynyuk, A. A.; Stamova, Ivanka M. Stability analysis of set trajectories for families of impulsive equations. (English) Zbl 1417.34117 Appl. Anal. 98, No. 4, 828-842 (2019). Reviewer: Yong-Kui Chang (Xi’an) MSC: 34D20 34A37 34A45 PDFBibTeX XMLCite \textit{A. A. Martynyuk} and \textit{I. M. Stamova}, Appl. Anal. 98, No. 4, 828--842 (2019; Zbl 1417.34117) Full Text: DOI
Martynyuk, Anatoliy; Stamov, Gani; Stamova, Ivanka On a development of the comparison principle in the stability theory of motion. (English) Zbl 1417.34079 Lib. Math. (N.S.) 38, No. 2, 41-55 (2018). MSC: 34C10 34D20 37C60 PDFBibTeX XMLCite \textit{A. Martynyuk} et al., Lib. Math. (N.S.) 38, No. 2, 41--55 (2018; Zbl 1417.34079)
Martynyuk, A. A.; Khusainov, D. Ya.; Chernienko, V. A. Constructive estimation of the Lyapunov function for quadratic nonlinear systems. (English. Russian original) Zbl 1397.70031 Int. Appl. Mech. 54, No. 3, 346-357 (2018); translation from Prikl. Mekh., Kiev 54, No. 3, 114-126 (2018). MSC: 70K60 34D08 93D30 PDFBibTeX XMLCite \textit{A. A. Martynyuk} et al., Int. Appl. Mech. 54, No. 3, 346--357 (2018; Zbl 1397.70031); translation from Prikl. Mekh., Kiev 54, No. 3, 114--126 (2018) Full Text: DOI
Martynyuk, Anatoliy A.; Stamova, Ivanka M. Fractional-like derivative of Lyapunov-type functions and applications to stability analysis of motion. (English) Zbl 1387.34007 Electron. J. Differ. Equ. 2018, Paper No. 62, 12 p. (2018). MSC: 34A08 34D20 34E20 PDFBibTeX XMLCite \textit{A. A. Martynyuk} and \textit{I. M. Stamova}, Electron. J. Differ. Equ. 2018, Paper No. 62, 12 p. (2018; Zbl 1387.34007) Full Text: Link
Martynyuk, A. A.; Khoroshun, A. S. To the theory of a single link manipulator with joint elasticity. (Ukrainian. English summary) Zbl 1413.70017 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2017, No. 4, 43-46 (2017). MSC: 70K20 70E50 PDFBibTeX XMLCite \textit{A. A. Martynyuk} and \textit{A. S. Khoroshun}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2017, No. 4, 43--46 (2017; Zbl 1413.70017)
Martynyuk, A. A.; Babenko, E. A. Robust stabilization of bilinear systems under interval initial conditions. (English. Russian original) Zbl 1398.93282 Int. Appl. Mech. 53, No. 4, 454-463 (2017); translation from Prikl. Mekh., Kiev 53, No. 6, 117-127 (2017). MSC: 93D09 93C05 PDFBibTeX XMLCite \textit{A. A. Martynyuk} and \textit{E. A. Babenko}, Int. Appl. Mech. 53, No. 4, 454--463 (2017; Zbl 1398.93282); translation from Prikl. Mekh., Kiev 53, No. 6, 117--127 (2017) Full Text: DOI
Martynyuk, A. A.; Chernetskaya, L. N.; Martynyuk-Chernienko, Yu. A. Stabilization of the motion of pseudo-linear affine systems. (English. Russian original) Zbl 1375.93103 Int. Appl. Mech. 53, No. 3, 334-341 (2017); translation from Prikl. Mekh., Kiev 53, No. 3, 113-120 (2017). MSC: 93D20 93C73 93C05 PDFBibTeX XMLCite \textit{A. A. Martynyuk} et al., Int. Appl. Mech. 53, No. 3, 334--341 (2017; Zbl 1375.93103); translation from Prikl. Mekh., Kiev 53, No. 3, 113--120 (2017) Full Text: DOI
Lukyanova, T. A.; Martynyuk, A. A. Stability analysis of impulsive Hopfield-type neuron system on time scale. (English) Zbl 1376.92007 Nonlinear Dyn. Syst. Theory 17, No. 3, 315-326 (2017). MSC: 92B20 93D05 PDFBibTeX XMLCite \textit{T. A. Lukyanova} and \textit{A. A. Martynyuk}, Nonlinear Dyn. Syst. Theory 17, No. 3, 315--326 (2017; Zbl 1376.92007)
Lila, D. M.; Martynyuk, A. A. One numerical realization of a generalized model of world dynamics and sustainable development. (English. Ukrainian original) Zbl 1369.91127 J. Math. Sci., New York 223, No. 3, 285-292 (2017); translation from Neliniĭni Kolyvannya 19, No. 2, 227-234 (2016). MSC: 91B62 91B76 91B55 37N40 PDFBibTeX XMLCite \textit{D. M. Lila} and \textit{A. A. Martynyuk}, J. Math. Sci., New York 223, No. 3, 285--292 (2017; Zbl 1369.91127); translation from Neliniĭni Kolyvannya 19, No. 2, 227--234 (2016) Full Text: DOI
Babenko, E. A.; Martynyuk, A. A. Stabilization of the motion of affine systems. (English. Russian original) Zbl 1382.93025 Int. Appl. Mech. 52, No. 4, 413-421 (2016); translation from Prikl. Mekh., Kiev 52, No. 4, 100-108 (2016). MSC: 93D05 93C10 PDFBibTeX XMLCite \textit{E. A. Babenko} and \textit{A. A. Martynyuk}, Int. Appl. Mech. 52, No. 4, 413--421 (2016; Zbl 1382.93025); translation from Prikl. Mekh., Kiev 52, No. 4, 100--108 (2016) Full Text: DOI
Aleksandrov, A. Yu.; Martynyuk, A. A.; Platonov, A. V. Dwell time stability analysis for nonlinear switched difference systems. (English) Zbl 1359.39008 Nonlinear Dyn. Syst. Theory 16, No. 3, 221-234 (2016). Reviewer: Eszter Gselmann (Debrecen) MSC: 39A22 39A30 PDFBibTeX XMLCite \textit{A. Yu. Aleksandrov} et al., Nonlinear Dyn. Syst. Theory 16, No. 3, 221--234 (2016; Zbl 1359.39008)
Martynyuk, A. A.; Chernetskaya, L. M.; Martynyuk-Chernienko, Yu. A. Dynamics analysis of the set of trajectories on a product of convex compacts. (Russian. English summary) Zbl 1363.34045 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2016, No. 9, 44-50 (2016). MSC: 34A60 34D20 34C10 PDFBibTeX XMLCite \textit{A. A. Martynyuk} et al., Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2016, No. 9, 44--50 (2016; Zbl 1363.34045) Full Text: DOI
Martynyuk, A. A.; Khusainov, D. Ya.; Chernienko, V. A. Integral estimates of solutions to nonlinear systems and their applications. (English) Zbl 1343.34131 Nonlinear Dyn. Syst. Theory 16, No. 1, 1-11 (2016). MSC: 34D05 34A34 34C11 34D20 PDFBibTeX XMLCite \textit{A. A. Martynyuk} et al., Nonlinear Dyn. Syst. Theory 16, No. 1, 1--11 (2016; Zbl 1343.34131)
Lila, D. M.; Martynyuk, A. A. Eccentric form of stability loss by a rotating elastoplastic radially inhomogeneous stepped circular disc. (Russian, English) Zbl 1363.74037 Mat. Metody Fiz.-Mekh. Polya 58, No. 4, 47-57 (2015); translation in J. Math. Sci., New York 228, No. 1, 53-65 (2018). Reviewer: V. M. Musaev (Baku) MSC: 74H55 74D99 74K10 74S99 PDFBibTeX XMLCite \textit{D. M. Lila} and \textit{A. A. Martynyuk}, Mat. Metody Fiz.-Mekh. Polya 58, No. 4, 47--57 (2015; Zbl 1363.74037); translation in J. Math. Sci., New York 228, No. 1, 53--65 (2018) Full Text: DOI
Martynyuk, A. A.; Martynyuk-Chernienko, Yu. A. Analysis of the set of trajectories of fuzzy equations of perturbed motion. (English. Russian original) Zbl 1353.34004 Ukr. Math. J. 66, No. 11, 1696-1714 (2015); translation from Ukr. Mat. Zh. 66, No. 11, 1512-1527 (2015). Reviewer: Andrej V. Plotnikov (Odessa) MSC: 34A07 34A45 34A12 34D20 34D10 PDFBibTeX XMLCite \textit{A. A. Martynyuk} and \textit{Yu. A. Martynyuk-Chernienko}, Ukr. Math. J. 66, No. 11, 1696--1714 (2015; Zbl 1353.34004); translation from Ukr. Mat. Zh. 66, No. 11, 1512--1527 (2015) Full Text: DOI
Martynyuk, A. A.; Nikitina, N. V. On periodic motions in three-dimensional systems. (English. Russian original) Zbl 1331.34023 Int. Appl. Mech. 51, No. 4, 369-379 (2015); translation from Prikl. Mekh., Kiev 51, No. 4, 3-16 (2015). MSC: 34A34 34D20 37D45 34C25 34D45 34C28 PDFBibTeX XMLCite \textit{A. A. Martynyuk} and \textit{N. V. Nikitina}, Int. Appl. Mech. 51, No. 4, 369--379 (2015; Zbl 1331.34023); translation from Prikl. Mekh., Kiev 51, No. 4, 3--16 (2015) Full Text: DOI
Martynyuk, A. A.; Nikitina, N. V. Bifurcations and multistability of the oscillations of a three-dimensional system. (English. Russian original) Zbl 1331.34068 Int. Appl. Mech. 51, No. 2, 223-232 (2015); translation from Prikl. Mekh., Kiev 51, No. 2, 122-132 (2015). MSC: 34C23 37N15 34C15 34C28 PDFBibTeX XMLCite \textit{A. A. Martynyuk} and \textit{N. V. Nikitina}, Int. Appl. Mech. 51, No. 2, 223--232 (2015; Zbl 1331.34068); translation from Prikl. Mekh., Kiev 51, No. 2, 122--132 (2015) Full Text: DOI
Aleksandrov, A. Yu.; Martynyuk, A. A.; Zhabko, A. P. The problem of stability by nonlinear approximation. (English) Zbl 1333.34096 Nonlinear Dyn. Syst. Theory 15, No. 3, 221-230 (2015). MSC: 34D20 34A34 01A70 34D10 PDFBibTeX XMLCite \textit{A. Yu. Aleksandrov} et al., Nonlinear Dyn. Syst. Theory 15, No. 3, 221--230 (2015; Zbl 1333.34096)
Lakshmikantham, Vangipuram; Leela, Srinivasa; Martynyuk, Anatoly A. Stability analysis of nonlinear systems. 2nd edition. (English) Zbl 1405.93006 Systems & Control: Foundations & Applications. Cham: Birkhäuser/Springer (ISBN 978-3-319-27199-6/hbk; 978-3-319-27200-9/ebook). xi, 329 p. (2015). Reviewer: Mikhail I. Krastanov (Sofia) MSC: 93-02 93D05 93C10 93C15 93C95 45J05 PDFBibTeX XMLCite \textit{V. Lakshmikantham} et al., Stability analysis of nonlinear systems. 2nd edition. Cham: Birkhäuser/Springer (2015; Zbl 1405.93006) Full Text: DOI
Martynyuk, A. A.; Miladzhanov, V. G. Stability of nonlinear systems under structural perturbations. (English) Zbl 1330.34011 Stability, Oscillations and Optimization of Systems 8. Cambridge: Cambridge Scientific Publishers (ISBN 978-1-908106-37-7). xviii, 253 p. (2015). MSC: 34-02 PDFBibTeX XMLCite \textit{A. A. Martynyuk} and \textit{V. G. Miladzhanov}, Stability of nonlinear systems under structural perturbations. Cambridge: Cambridge Scientific Publishers (2015; Zbl 1330.34011)
Khoroshun, A. S.; Martynyuk, A. A. Qualitative analysis of singularly perturbed Takagi-Sugeno systems: the case of unstable subsystems. (English) Zbl 1327.34088 Differ. Equ. Dyn. Syst. 23, No. 4, 423-431 (2015). MSC: 34C60 34E15 93C42 93D30 34A07 PDFBibTeX XMLCite \textit{A. S. Khoroshun} and \textit{A. A. Martynyuk}, Differ. Equ. Dyn. Syst. 23, No. 4, 423--431 (2015; Zbl 1327.34088) Full Text: DOI
Martynyuk, A. A.; Nikitina, N. V. On periodic motion and bifurcations in three-dimensional nonlinear systems. (English. Ukrainian original) Zbl 1345.37016 J. Math. Sci., New York 208, No. 5, 593-606 (2015); translation from Neliniĭni Kolyvannya 17, No. 2, 268-280 (2014). MSC: 37C25 37G15 37D45 34C25 34C23 34C60 PDFBibTeX XMLCite \textit{A. A. Martynyuk} and \textit{N. V. Nikitina}, J. Math. Sci., New York 208, No. 5, 593--606 (2015; Zbl 1345.37016); translation from Neliniĭni Kolyvannya 17, No. 2, 268--280 (2014) Full Text: DOI
Aleksandrov, Alexander Yu.; Martynyuk, Anatoly A.; Platonov, Alexey V. Stability analysis of nonlinear switched difference system via the comparison method. (English) Zbl 1341.39004 Panam. Math. J. 25, No. 2, 71-88 (2015). Reviewer: Zhiming Guo (Guangzhou) MSC: 39A30 39A22 39A10 PDFBibTeX XMLCite \textit{A. Yu. Aleksandrov} et al., Panam. Math. J. 25, No. 2, 71--88 (2015; Zbl 1341.39004)
Martynyuk, A. A.; Martynyuk-Chernienko, Yu. A. Analysis of the set of trajectories of nonlinear dynamics: equations with causal robust operator. (English. Russian original) Zbl 1322.34027 Differ. Equ. 51, No. 1, 11-22 (2015); translation from Differ. Uravn. 51, No. 1, 13-23 (2015). Reviewer: Andrej V. Plotnikov (Odessa) MSC: 34A60 34A38 34A07 93D30 PDFBibTeX XMLCite \textit{A. A. Martynyuk} and \textit{Yu. A. Martynyuk-Chernienko}, Differ. Equ. 51, No. 1, 11--22 (2015; Zbl 1322.34027); translation from Differ. Uravn. 51, No. 1, 13--23 (2015) Full Text: DOI
Aleksandrov, A. Yu.; Martynyuk, A. A.; Platonov, A. V. Analysis of a set of nonlinear dynamics trajectories: stability of difference equations. (English) Zbl 1297.39019 J. Math. Anal. Appl. 421, No. 1, 105-117 (2015). MSC: 39A30 39A10 65L12 34A34 PDFBibTeX XMLCite \textit{A. Yu. Aleksandrov} et al., J. Math. Anal. Appl. 421, No. 1, 105--117 (2015; Zbl 1297.39019) Full Text: DOI
Martynyuk, A. A.; Nikitina, N. B. Stability and bifurcation in a model of the magnetic field of the earth. (English. Russian original) Zbl 1314.86008 Int. Appl. Mech. 50, No. 6, 721-729 (2014); translation from Prikl. Mekh., Kiev 50, No. 6, 133-141 (2014). MSC: 86A25 PDFBibTeX XMLCite \textit{A. A. Martynyuk} and \textit{N. B. Nikitina}, Int. Appl. Mech. 50, No. 6, 721--729 (2014; Zbl 1314.86008); translation from Prikl. Mekh., Kiev 50, No. 6, 133--141 (2014) Full Text: DOI
Martynyuk, A. A.; Khoroshun, A. S. Revisiting the theory of stability over a finite interval. (English. Russian original) Zbl 1314.70044 Int. Appl. Mech. 50, No. 3, 335-340 (2014); translation from Prikl. Mekh., Kiev 50, No. 3, 124-131 (2014). MSC: 70Q05 34D20 93D30 70K20 PDFBibTeX XMLCite \textit{A. A. Martynyuk} and \textit{A. S. Khoroshun}, Int. Appl. Mech. 50, No. 3, 335--340 (2014; Zbl 1314.70044); translation from Prikl. Mekh., Kiev 50, No. 3, 124--131 (2014) Full Text: DOI
Martynyuk, A. A.; Chernetskaya, L. N. On the asymptotic behaviour of solutions of nonstationary pseudolinear systems. (Ukrainian. English summary) Zbl 1324.34103 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2014, No. 12, 64-70 (2014). MSC: 34D05 34D20 34A30 34C11 PDFBibTeX XMLCite \textit{A. A. Martynyuk} and \textit{L. N. Chernetskaya}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2014, No. 12, 64--70 (2014; Zbl 1324.34103) Full Text: DOI
Babenko, S. V.; Martynyuk, A. A. Stability of dynamic graph on time scales. (English) Zbl 1304.34158 Nonlinear Dyn. Syst. Theory 14, No. 1, 30-43 (2014). MSC: 34N05 34A40 34D20 05C99 PDFBibTeX XMLCite \textit{S. V. Babenko} and \textit{A. A. Martynyuk}, Nonlinear Dyn. Syst. Theory 14, No. 1, 30--43 (2014; Zbl 1304.34158)
Burton, T. A.; Hamaya, Yoshihiro; Martynyuk, A. A. Professor Taro Yoshizawa. (English) Zbl 1298.01023 Nonlinear Dyn. Syst. Theory 14, No. 2, 103-108 (2014). MSC: 01A70 PDFBibTeX XMLCite \textit{T. A. Burton} et al., Nonlinear Dyn. Syst. Theory 14, No. 2, 103--108 (2014; Zbl 1298.01023)
Babenko, S. V.; Martynyuk, A. A. Stability of controlled systems with two controls on the time scale. (English. Russian original) Zbl 1304.34157 J. Math. Sci., New York 197, No. 1, 4-12 (2014); translation from Neliniĭni Kolyvannya 16, No. 1, 6-13 (2013). MSC: 34N05 34H05 34D20 PDFBibTeX XMLCite \textit{S. V. Babenko} and \textit{A. A. Martynyuk}, J. Math. Sci., New York 197, No. 1, 4--12 (2014; Zbl 1304.34157); translation from Neliniĭni Kolyvannya 16, No. 1, 6--13 (2013) Full Text: DOI
Martynyuk, A. A.; Martynyuk-Chernienko, Yu. A. Analysis of the trajectory set of nonlinear dynamics: systems with aftereffect under impulsive disturbances. (English. Russian original) Zbl 1312.34121 Differ. Equ. 50, No. 4, 453-463 (2014); translation from Differ. Uravn. 50, No. 4, 457-467 (2014). Reviewer: Leonid Berezanski (Beer-Sheva) MSC: 34K45 34K20 34K12 34K09 PDFBibTeX XMLCite \textit{A. A. Martynyuk} and \textit{Yu. A. Martynyuk-Chernienko}, Differ. Equ. 50, No. 4, 453--463 (2014; Zbl 1312.34121); translation from Differ. Uravn. 50, No. 4, 457--467 (2014) Full Text: DOI
Martynyuk, À. À.; Khoroshun, À. S.; Chernienko, À. N. Practical stability of a moving robot with respect to given domains. (English. Russian original) Zbl 1294.70006 Int. Appl. Mech. 50, No. 1, 79-86 (2014); translation from Prikl. Mekh., Kiev 50, No. 1, 115-123 (2014). MSC: 70E60 70E50 PDFBibTeX XMLCite \textit{À. À. Martynyuk} et al., Int. Appl. Mech. 50, No. 1, 79--86 (2014; Zbl 1294.70006); translation from Prikl. Mekh., Kiev 50, No. 1, 115--123 (2014) Full Text: DOI
Lila, D. M.; Martynyuk, A. A. The loss of stability of a rotating resilent plastic plane disk with decreasing radius. (Russian. English summary) Zbl 1313.74074 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2014, No. 2, 56-62 (2014). MSC: 74H55 74K20 74F10 PDFBibTeX XMLCite \textit{D. M. Lila} and \textit{A. A. Martynyuk}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2014, No. 2, 56--62 (2014; Zbl 1313.74074) Full Text: DOI
Martynyuk, A. A.; Martynyuk-Chernienko, Yu. A. Analysis of the set of trajectories of nonlinear dynamics: stability under interval initial conditions. (English. Russian original) Zbl 1293.34067 Differ. Equ. 49, No. 10, 1252-1260 (2013); translation from Differ. Uravn. 49, No. 10, 1287-1294 (2013). MSC: 34D20 PDFBibTeX XMLCite \textit{A. A. Martynyuk} and \textit{Yu. A. Martynyuk-Chernienko}, Differ. Equ. 49, No. 10, 1252--1260 (2013; Zbl 1293.34067); translation from Differ. Uravn. 49, No. 10, 1287--1294 (2013) Full Text: DOI
Vassilyev, S. N.; Martynyuk, A. A.; Siljak, D. D. Personage in science: Academician V. M. Matrosov in memoriam. (English) Zbl 1296.01043 Nonlinear Dyn. Syst. Theory 13, No. 4, 325-331 (2013). MSC: 01A70 93-03 93Dxx PDFBibTeX XMLCite \textit{S. N. Vassilyev} et al., Nonlinear Dyn. Syst. Theory 13, No. 4, 325--331 (2013; Zbl 1296.01043)
Boichuk, A. A.; Mazko, A. G.; Martynyuk, A. A.; Perestyuk, M. O. Academician A.M. Samoilenko. (English) Zbl 1291.01034 Nonlinear Dyn. Syst. Theory 13, No. 2, 107-113 (2013). MSC: 01A70 34-03 35-03 PDFBibTeX XMLCite \textit{A. A. Boichuk} et al., Nonlinear Dyn. Syst. Theory 13, No. 2, 107--113 (2013; Zbl 1291.01034)
Babenko, S. V.; Martynyuk, A. A. Nonlinear dynamic inequalities and stability of quasilinear systems on time scales. (English) Zbl 1298.34172 Nonlinear Dyn. Syst. Theory 13, No. 1, 13-23 (2013). MSC: 34N05 34A34 34A40 34D20 PDFBibTeX XMLCite \textit{S. V. Babenko} and \textit{A. A. Martynyuk}, Nonlinear Dyn. Syst. Theory 13, No. 1, 13--23 (2013; Zbl 1298.34172)
Chernetskaya, L. N.; Martynyuk, A. A.; Rasshyvalova, S. N. Practical stability of dynamic equations. (English) Zbl 1296.34179 Commun. Appl. Anal. 17, No. 3-4, 503-510 (2013). MSC: 34N05 34D20 PDFBibTeX XMLCite \textit{L. N. Chernetskaya} et al., Commun. Appl. Anal. 17, No. 3--4, 503--510 (2013; Zbl 1296.34179)
Khoroshun, A. S.; Martynyuk, A. A. Novel approach to absolute parametric stability of the uncertain singularly perturbed systems. (English) Zbl 1304.34097 Commun. Appl. Anal. 17, No. 3-4, 439-450 (2013). Reviewer: Vasile Dragan (Bucureşti) MSC: 34D15 34E10 93D30 93D10 34D20 PDFBibTeX XMLCite \textit{A. S. Khoroshun} and \textit{A. A. Martynyuk}, Commun. Appl. Anal. 17, No. 3--4, 439--450 (2013; Zbl 1304.34097)
Martynyuk, A. A.; Ivanov, I. L. On the connective stability of three-machine energetic system with impulsive disturbances. (Russian. English summary) Zbl 1289.70010 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2013, No. 7, 64-71 (2013). MSC: 70E55 93D99 PDFBibTeX XMLCite \textit{A. A. Martynyuk} and \textit{I. L. Ivanov}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2013, No. 7, 64--71 (2013; Zbl 1289.70010)
Martynyuk, A. A.; Khoroshun, A. S. On parametric instability of singularly perturbed systems. (English. Russian original) Zbl 1275.93048 Autom. Remote Control 74, No. 1, 46-61 (2013); translation from Avtom. Telemekh. 2013, No. 1, 59-78 (2013). MSC: 93C70 93D99 PDFBibTeX XMLCite \textit{A. A. Martynyuk} and \textit{A. S. Khoroshun}, Autom. Remote Control 74, No. 1, 46--61 (2013; Zbl 1275.93048); translation from Avtom. Telemekh. 2013, No. 1, 59--78 (2013) Full Text: DOI
Martynyuk, A. A.; Martynyuk-Chernienko, Yu. A. Existence, uniqueness, and estimation of solutions for a set of equations of perturbed motion. (English. Ukrainian original) Zbl 1298.34035 Ukr. Math. J. 65, No. 2, 302-327 (2013); translation from Ukr. Mat. Zh. 65, No. 2, 273-295 (2013). MSC: 34A60 34A07 34D10 47A52 PDFBibTeX XMLCite \textit{A. A. Martynyuk} and \textit{Yu. A. Martynyuk-Chernienko}, Ukr. Math. J. 65, No. 2, 302--327 (2013; Zbl 1298.34035); translation from Ukr. Mat. Zh. 65, No. 2, 273--295 (2013) Full Text: DOI
Luk’yanova, T. A.; Martynyuk, A. A. Sufficient conditions of connective stability of motion on time scale. (English) Zbl 1272.34123 Int. Appl. Mech. 49, No. 2, 232-244 (2013); translation from Prikl. Mekh., Kiev 49, No. 2, 114-129 (2013). MSC: 34N05 26E70 PDFBibTeX XMLCite \textit{T. A. Luk'yanova} and \textit{A. A. Martynyuk}, Int. Appl. Mech. 49, No. 2, 232--244 (2013; Zbl 1272.34123); translation from Prikl. Mekh., Kiev 49, No. 2, 114--129 (2013) Full Text: DOI
Martynyuk, A. A.; Khoroshun, A. S. On parametric stabilization of uncertain singularly perturbed systems. (English. Russian original) Zbl 1278.34069 J. Math. Sci., New York 191, No. 3, 403-420 (2013); translation from Neliniĭni Kolyvannya 15, No. 3, 367-380 (2012). Reviewer: Vasile Dragan (Bucureşti) MSC: 34H15 34D15 34E15 34C29 93C70 93C41 34D20 PDFBibTeX XMLCite \textit{A. A. Martynyuk} and \textit{A. S. Khoroshun}, J. Math. Sci., New York 191, No. 3, 403--420 (2013; Zbl 1278.34069); translation from Neliniĭni Kolyvannya 15, No. 3, 367--380 (2012) Full Text: DOI
Martynyuk, A. A.; Martynyuk-Chernienko, Yu. A. Analysis of the set of trajectories of nonlinear dynamics: stability and boundedness of motions. (English) Zbl 1277.34073 Differ. Equ. 49, No. 1, 20-31 (2013); translation from Differ. Uravn. 49, No. 1, 21-32 (2013). Reviewer: Andrej V. Plotnikov (Odessa) MSC: 34D20 34A07 34A60 PDFBibTeX XMLCite \textit{A. A. Martynyuk} and \textit{Yu. A. Martynyuk-Chernienko}, Differ. Equ. 49, No. 1, 20--31 (2013; Zbl 1277.34073); translation from Differ. Uravn. 49, No. 1, 21--32 (2013) Full Text: DOI
Martynyuk, Anatoly; Chernetskaya, Larisa; Martynyuk, Vladislav Weakly connected nonlinear systems. Boundedness and stability of motion. (English) Zbl 1307.34002 Pure and Applied Mathematics (Boca Raton) 305. Boca Raton, FL: CRC Press (ISBN 978-1-4665-7086-3/hbk). xv, 212 p. (2013). Reviewer: Liqin Zhao (Beijing) MSC: 34-02 34Dxx 34Cxx PDFBibTeX XMLCite \textit{A. Martynyuk} et al., Weakly connected nonlinear systems. Boundedness and stability of motion. Boca Raton, FL: CRC Press (2013; Zbl 1307.34002)
Lila, D. M.; Martynyuk, A. A. Development of instability in a rotating elastoplastic annular disk. (English. Russian original) Zbl 1295.74031 Int. Appl. Mech. 48, No. 2, 224-233 (2012); translation from Prikl. Mekh. Kiev 48, No. 2, 127-136 (2012). MSC: 74G60 74C05 74K20 PDFBibTeX XMLCite \textit{D. M. Lila} and \textit{A. A. Martynyuk}, Int. Appl. Mech. 48, No. 2, 224--233 (2012; Zbl 1295.74031); translation from Prikl. Mekh. Kiev 48, No. 2, 127--136 (2012) Full Text: DOI
Martynyuk, A. A.; Mullazhonov, R. V. Revisiting the theory of stability of stationary linear large-scale systems. (English. Russian original) Zbl 1295.93060 Int. Appl. Mech. 48, No. 1, 101-111 (2012); translation from Prikl. Mekh. Kiev 48, No. 1, 121-132 (2012). MSC: 93D05 93D20 PDFBibTeX XMLCite \textit{A. A. Martynyuk} and \textit{R. V. Mullazhonov}, Int. Appl. Mech. 48, No. 1, 101--111 (2012; Zbl 1295.93060); translation from Prikl. Mekh. Kiev 48, No. 1, 121--132 (2012) Full Text: DOI
Aleksandrov, A. Yu.; Martynyuk, A. A.; Pavel, N. H.; Vassilyev, S. N. Professor Constantin Corduneanu to the 84th birthday anniversary. (English) Zbl 1291.01021 Nonlinear Dyn. Syst. Theory 12, No. 2, 111-118 (2012). MSC: 01A60 01A70 34-03 PDFBibTeX XMLCite \textit{A. Yu. Aleksandrov} et al., Nonlinear Dyn. Syst. Theory 12, No. 2, 111--118 (2012; Zbl 1291.01021)
Dshalalow, J. H.; Martynyuk, A. A. Professor Theodore A. Burton. (English) Zbl 1291.01040 Nonlinear Dyn. Syst. Theory 12, No. 4, 325-332 (2012). MSC: 01A70 93-03 49-03 PDFBibTeX XMLCite \textit{J. H. Dshalalow} and \textit{A. A. Martynyuk}, Nonlinear Dyn. Syst. Theory 12, No. 4, 325--332 (2012; Zbl 1291.01040)
Lila, D. M.; Martynyuk, A. A. On instability of a rotating elastoplastic composite plane circular disc. (Russian, English) Zbl 1274.74136 Mat. Metody Fiz.-Mekh. Polya 55, No. 1, 145-158 (2012); translation in J. Math. Sci., New York 190, No. 6, 804-822 (2013). MSC: 74H55 74C05 74B05 74H10 PDFBibTeX XMLCite \textit{D. M. Lila} and \textit{A. A. Martynyuk}, Mat. Metody Fiz.-Mekh. Polya 55, No. 1, 145--158 (2012; Zbl 1274.74136); translation in J. Math. Sci., New York 190, No. 6, 804--822 (2013)
Martynyuk, A. A.; Martynyuk-Chernienko, Yu. A. Analysis of the trajectory set of nonlinear dynamics: estimates of solutions and comparison principle. (English. Russian original) Zbl 1266.34029 Differ. Equ. 48, No. 10, 1375-1383 (2012); translation from Differ. Uravn. 48, No. 10, 1395-1403 (2012). Reviewer: Andrej V. Plotnikov (Odessa) MSC: 34A60 34D20 34C11 PDFBibTeX XMLCite \textit{A. A. Martynyuk} and \textit{Yu. A. Martynyuk-Chernienko}, Differ. Equ. 48, No. 10, 1375--1383 (2012; Zbl 1266.34029); translation from Differ. Uravn. 48, No. 10, 1395--1403 (2012) Full Text: DOI
Martynyuk, A. A.; Martynyuk-Chernienko, Yu. A. Stability of motion of nonlinear systems with fuzzy characteristics of parameters. (English. Russian original) Zbl 1263.34008 Ukr. Math. J. 64, No. 1, 56-77 (2012); translation from Ukr. Mat. Zh. 64, No. 1, 50-70 (2012). Reviewer: Krishnan Balachandran (Coimbatore) MSC: 34A07 34D20 PDFBibTeX XMLCite \textit{A. A. Martynyuk} and \textit{Yu. A. Martynyuk-Chernienko}, Ukr. Math. J. 64, No. 1, 56--77 (2012; Zbl 1263.34008); translation from Ukr. Mat. Zh. 64, No. 1, 50--70 (2012) Full Text: DOI
Martynyuk, A. A.; Martynyuk-Chernienko, Yu. A. On the robust stability of impulsive systems with delay. (Russian. English summary) Zbl 1265.34267 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2012, No. 8, 47-53 (2012). MSC: 34K20 34K45 93D09 PDFBibTeX XMLCite \textit{A. A. Martynyuk} and \textit{Yu. A. Martynyuk-Chernienko}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2012, No. 8, 47--53 (2012; Zbl 1265.34267)
Martynyuk, A. A.; Ivanov, I. L. On the connective stability of impulsive large-scale systems with delay. (Russian. English summary) Zbl 1265.34266 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2012, No. 7, 60-66 (2012). MSC: 34K20 34K45 PDFBibTeX XMLCite \textit{A. A. Martynyuk} and \textit{I. L. Ivanov}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2012, No. 7, 60--66 (2012; Zbl 1265.34266)
Martynyuk, A. A.; Martynyuk-Chernienko, Yu. A. Uncertain dynamical systems. Stability and motion control. (English) Zbl 1241.37001 Pure and Applied Mathematics (Boca Raton) 302. Boca Raton, FL: CRC Press (ISBN 978-1-4398-7685-5/hbk; 978-1-4398-7687-9/ebook). xiii, 296 p. (2012). Reviewer: Georgy Osipenko (St. Peterburg) MSC: 37-02 93-02 37N35 37C75 37N20 93C15 34D20 93D30 PDFBibTeX XMLCite \textit{A. A. Martynyuk} and \textit{Yu. A. Martynyuk-Chernienko}, Uncertain dynamical systems. Stability and motion control. Boca Raton, FL: CRC Press (2012; Zbl 1241.37001) Full Text: Link
Martynyuk, A. A.; Khoroshun, A. S. On the problem of stabilization of motion for a parametric family of nonlinear singularly perturbed systems. (English. Russian original) Zbl 1333.93210 Nonlinear Oscil., N.Y. 14, No. 2, 249-266 (2011); translation from Neliniĭni Kolyvannya 14, No. 2, 238-254 (2011). MSC: 93D21 93C70 93C10 93C41 PDFBibTeX XMLCite \textit{A. A. Martynyuk} and \textit{A. S. Khoroshun}, Nonlinear Oscil., N.Y. 14, No. 2, 249--266 (2011; Zbl 1333.93210); translation from Neliniĭni Kolyvannya 14, No. 2, 238--254 (2011) Full Text: DOI
Luk’yanova, T. A.; Martynyuk, A. A. On the asymptotic stability of a neural network on a time scale. (English. Russian original) Zbl 1334.34195 Nonlinear Oscil., N.Y. 13, No. 3, 372-388 (2011); translation from Neliniĭni Kolyvannya 13, No. 3, 346-360 (2010). MSC: 34N05 34D20 68T05 PDFBibTeX XMLCite \textit{T. A. Luk'yanova} and \textit{A. A. Martynyuk}, Nonlinear Oscil., N.Y. 13, No. 3, 372--388 (2011; Zbl 1334.34195); translation from Neliniĭni Kolyvannya 13, No. 3, 346--360 (2010) Full Text: DOI
Martynyuk, A. A.; Martynyuk-Chernienko, Yu. A.; Chernetskaya, L. N. Stability analysis of uncertain systems on time scales. (English. Russian original) Zbl 1295.93059 Int. Appl. Mech. 47, No. 6, 653-661 (2011); translation from Prikl. Mekh. Kiev 47, No. 6, 57-67 (2011). MSC: 93D05 93C41 PDFBibTeX XMLCite \textit{A. A. Martynyuk} et al., Int. Appl. Mech. 47, No. 6, 653--661 (2011; Zbl 1295.93059); translation from Prikl. Mekh. Kiev 47, No. 6, 57--67 (2011) Full Text: DOI
Martynyuk, A. A.; Khoroshun, A. S. Parametric stability of singularly perturbed nonlinear uncertain systems. (English. Ukrainian original) Zbl 1272.70097 Int. Appl. Mech. 46, No. 10, 1177-1189 (2011); translation from Prikl. Mekh., Kiev 46, No. 10, 106-120 (2010). MSC: 70K20 70K60 70K70 PDFBibTeX XMLCite \textit{A. A. Martynyuk} and \textit{A. S. Khoroshun}, Int. Appl. Mech. 46, No. 10, 1177--1189 (2011; Zbl 1272.70097); translation from Prikl. Mekh., Kiev 46, No. 10, 106--120 (2010) Full Text: DOI
Martynyuk, A. A.; Martynyuk-Chernienko, Yu. A.; Sun, Zhen Qi Uncertain dynamical systems. Stability and motion control. Transl. from the English. (Chinese) Zbl 1248.37003 Beijing: Science Press (ISBN 978-7-03-032748-2/pbk). 237 p. (2011). MSC: 37-02 93-02 37N35 37C75 37N20 93C15 34D20 93D30 PDFBibTeX XMLCite \textit{A. A. Martynyuk} et al., Uncertain dynamical systems. Stability and motion control. Transl. from the English (Chinese). Beijing: Science Press (2011; Zbl 1248.37003)
Grigorenko, Ya. M.; Larin, V. B.; Martynyuk, A. A. Professor A.N. Golubentsev. On the occasion of his 95th birthday. (English) Zbl 1228.01039 Nonlinear Dyn. Syst. Theory 11, No. 3, 223-225 (2011). MSC: 01A70 PDFBibTeX XMLCite \textit{Ya. M. Grigorenko} et al., Nonlinear Dyn. Syst. Theory 11, No. 3, 223--225 (2011; Zbl 1228.01039)
Martynyuk, A. A.; Luk’yanova, T. A. On exponential stability of a complex-valued neural network on the time scale. (Russian. English summary) Zbl 1240.93294 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2011, No. 2, 11-17 (2011). MSC: 93D20 92B20 93C70 PDFBibTeX XMLCite \textit{A. A. Martynyuk} and \textit{T. A. Luk'yanova}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2011, No. 2, 11--17 (2011; Zbl 1240.93294)
Lula, D. M.; Martynyuk, A. A. About the stability loss of a rotating elastoplastic circular disc. (Russian. English summary) Zbl 1230.74044 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2011, No. 1, 44-51 (2011). MSC: 74C05 PDFBibTeX XMLCite \textit{D. M. Lula} and \textit{A. A. Martynyuk}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2011, No. 1, 44--51 (2011; Zbl 1230.74044)
Aleksandrov, A. Yu.; Martynyuk, A. A.; Zhabko, A. P. Professor V.I. Zubov. (English) Zbl 1300.34003 Nonlinear Dyn. Syst. Theory 10, No. 1, 1-10 (2010). MSC: 34-03 49-03 37-03 93-03 01A70 PDFBibTeX XMLCite \textit{A. Yu. Aleksandrov} et al., Nonlinear Dyn. Syst. Theory 10, No. 1, 1--10 (2010; Zbl 1300.34003)
Luk’yanova, T. A.; Martynyuk, A. A. Integral inequalities and stability of an equilibrium state on a time scale. (Russian, English) Zbl 1240.93267 Ukr. Mat. Zh. 62, No. 11, 1490-1499 (2010); translation in Ukr. Math. J. 62, No. 11, 1729-1740 (2010). MSC: 93D05 34D20 93D20 93D30 39A22 93C70 34N05 PDFBibTeX XMLCite \textit{T. A. Luk'yanova} and \textit{A. A. Martynyuk}, Ukr. Mat. Zh. 62, No. 11, 1490--1499 (2010; Zbl 1240.93267); translation in Ukr. Math. J. 62, No. 11, 1729--1740 (2010) Full Text: DOI
Martynyuk, A. A.; Pickl, S.; Freedman, H. I. Professor G. Leitmann on his 85th birthday. (Professor G. Leitmann on for 85th birthday.) (English) Zbl 1213.01088 Nonlinear Dyn. Syst. Theory 10, No. 3, 203-210 (2010). MSC: 01A70 PDFBibTeX XMLCite \textit{A. A. Martynyuk} et al., Nonlinear Dyn. Syst. Theory 10, No. 3, 203--210 (2010; Zbl 1213.01088)
Martynyuk, A. A.; Lukyanova, T. A.; Rasshyvalova, S. N. On stability of Hopfield neural network on time scales. (English) Zbl 1344.34099 Nonlinear Dyn. Syst. Theory 10, No. 4, 397-408 (2010). MSC: 34N05 26E70 34D20 68T05 92B20 PDFBibTeX XMLCite \textit{A. A. Martynyuk} et al., Nonlinear Dyn. Syst. Theory 10, No. 4, 397--408 (2010; Zbl 1344.34099)
Arutyunov, A. V.; Bibikov, Yu. N.; Emel’yanov, S. V.; Gaishun, I. V.; Il’in, V. A.; Kiguradze, I. T.; Korovin, S. K.; Kudryavtsev, L. D.; Kurzhanskii, A. B.; Makarov, E. K.; Martynyuk, A. A.; Mazanik, S. A.; Mishchenko, E. F.; Moiseev, E. I.; Osipov, Yu. S.; Pliss, V. A.; Rozov, N. Kh.; Sadovnichii, V. A.; Samoilenko, A. M.; Shemyakina, T. K.; Vasil’ev, F. P. Nikolai Alekseevich Izobov (a tribute in honor of his 70th birthday). (English. Russian original) Zbl 1191.01030 Differ. Equ. 46, No. 1, 1-7 (2010); translation from Differ. Uravn. 46, No. 1, 3-8 (2010). MSC: 01A70 PDFBibTeX XMLCite \textit{A. V. Arutyunov} et al., Differ. Equ. 46, No. 1, 1--7 (2010; Zbl 1191.01030); translation from Differ. Uravn. 46, No. 1, 3--8 (2010) Full Text: DOI
Martynyuk, A. A.; Luk’yanova, T. A. On the stability of a neural network on the time scale. (Russian. English summary) Zbl 1199.93239 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2010, No. 1, 21-26 (2010). MSC: 93D20 92B20 93C70 PDFBibTeX XMLCite \textit{A. A. Martynyuk} and \textit{T. A. Luk'yanova}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2010, No. 1, 21--26 (2010; Zbl 1199.93239)
Anosov, D. V.; Gaishun, I. V.; Il’in, V. A.; Izobov, N. A.; Kiguradze, I. T.; Kondrat’ev, V. A.; Kozlov, V. V.; Kudryavtsev, L. D.; Martynyuk, A. A.; Mishchenko, E. F.; Pliss, V. A.; Rozov, N. Kh.; Samoilenko, A. M.; Sergeev, I. N.; Shemyakina, T. K.; Vladimirov, V. S. Vladimir Mikhailovich Millionshchikov. (English. Russian original) Zbl 1476.01062 Differ. Equ. 45, No. 8, 1234-1237 (2009); translation from Differ. Uravn. 45, No. 8, 1209-1212 (2009). MSC: 01A70 PDFBibTeX XMLCite \textit{D. V. Anosov} et al., Differ. Equ. 45, No. 8, 1234--1237 (2009; Zbl 1476.01062); translation from Differ. Uravn. 45, No. 8, 1209--1212 (2009) Full Text: DOI
Lila, D. M.; Martynyuk, A. A. On stability of some solutions for equations of locked lasing of optically coupled lasers with periodic pumping. (English. Russian original) Zbl 1277.78028 Nonlinear Oscil., N.Y. 12, No. 4, 464-473 (2009); translation from Nelinijni Kolyvannya 12, No. 4, 451-460 (2009). MSC: 78A60 34C25 PDFBibTeX XMLCite \textit{D. M. Lila} and \textit{A. A. Martynyuk}, Nonlinear Oscil., N.Y. 12, No. 4, 464--473 (2009; Zbl 1277.78028); translation from Nelinijni Kolyvannya 12, No. 4, 451--460 (2009) Full Text: DOI
Lila, D. M.; Martynyuk, A. A. On the theory of stability of matrix differential equations. (Russian, English) Zbl 1224.34170 Ukr. Mat. Zh. 61, No. 4, 464-471 (2009); translation in Ukr. Math. J. 61, No. 4, 556-565 (2009). MSC: 34D20 34A30 PDFBibTeX XMLCite \textit{D. M. Lila} and \textit{A. A. Martynyuk}, Ukr. Mat. Zh. 61, No. 4, 464--471 (2009; Zbl 1224.34170); translation in Ukr. Math. J. 61, No. 4, 556--565 (2009) Full Text: DOI
Lila, D. M.; Martynyuk, A. A. Construction and applications of the matrix-valued Liapunov functions for some quasi-periodic systems. (English) Zbl 1207.34067 Differ. Equ. Dyn. Syst. 17, No. 1-2, 91-104 (2009). MSC: 34D20 34C46 PDFBibTeX XMLCite \textit{D. M. Lila} and \textit{A. A. Martynyuk}, Differ. Equ. Dyn. Syst. 17, No. 1--2, 91--104 (2009; Zbl 1207.34067) Full Text: DOI
Martunyuk, A. A.; Mischenko, Ye. F.; Samoylenko, A. M.; Sukhanov, A. D. Academician Nikolay Nikolayevich Bogolyubov (On the occasion of his 100th birthday). (Russian, English) Zbl 1212.01015 Prikl. Mekh., Kiev 45, No. 7, 3-9 (2009); translation in Int. Appl. Mech. 45, No. 7, 693-698 (2009). MSC: 01A70 PDFBibTeX XMLCite \textit{A. A. Martunyuk} et al., Prikl. Mekh., Kiev 45, No. 7, 3--9 (2009; Zbl 1212.01015); translation in Int. Appl. Mech. 45, No. 7, 693--698 (2009)
Bulgakov, A. I.; Maksimov, V. P.; Martynyuk, A. A.; Tonkov, E. L. Personage in science: Professor N.V. Azbelev. (English) Zbl 1195.01054 Nonlinear Dyn. Syst. Theory 9, No. 4, 327-332 (2009). MSC: 01A70 PDFBibTeX XMLCite \textit{A. I. Bulgakov} et al., Nonlinear Dyn. Syst. Theory 9, No. 4, 327--332 (2009; Zbl 1195.01054)
Anosov, D. V.; Gaishun, I. V.; Il’in, V. A.; Izobov, N. A.; Kiguradze, I. T.; Kondrat’ev, V. A.; Kozlov, V. V.; Kudryavtsev, L. D.; Martynyuk, A. A.; Mishchenko, E. F.; Pliss, V. A.; Rozov, N. Kh.; Samoilenko, A. M.; Sergeev, I. N.; Shemyakina, T. K.; Vladimirov, V. S. Obituary: Vladimir Mikhailovich Millionshchikov. (English. Russian original) Zbl 1178.01034 Differ. Equ. 45, No. 8, 1234-1237 (2009); translation from Differ. Uravn. 45, No. 8, 1209-1212 (2009). MSC: 01A70 PDFBibTeX XMLCite \textit{D. V. Anosov} et al., Differ. Equ. 45, No. 8, 1234--1237 (2009; Zbl 1178.01034); translation from Differ. Uravn. 45, No. 8, 1209--1212 (2009) Full Text: DOI
Kovalev, A. M.; Martynyuk, A. A.; Boichuk, O. A.; Mazko, A. G.; Petryshyn, R. I.; Slyusarchuk, V. Yu.; Zuyev, A. L.; Slyn’ko, V. I. Novel qualitative methods of nonlinear mechanics and their application to the analysis of multifrequency oscillations, stability, and control problems. (English) Zbl 1177.93002 Nonlinear Dyn. Syst. Theory 9, No. 2, 117-145 (2009). MSC: 93-02 93C10 15A18 15A22 15A24 15A42 34K06 34K11 37N15 93A15 93B18 93B25 93B55 93C35 93D09 93D20 PDFBibTeX XMLCite \textit{A. M. Kovalev} et al., Nonlinear Dyn. Syst. Theory 9, No. 2, 117--145 (2009; Zbl 1177.93002)