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Found 286 Documents (Results 1–100)

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
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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
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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
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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
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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).
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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).
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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).
MSC:  34D20 34A07 34A60
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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).
MSC:  34-02 34Dxx 34Cxx
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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).
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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).
MSC:  34A60 34D20 34C11
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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).
MSC:  34A07 34D20
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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).
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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).
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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
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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
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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).
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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
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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
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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
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