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Martynyuk, Anatoliĭ Andriĭovych

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Author ID: martynyuk.anatoly-a Recent zbMATH articles by "Martynyuk, Anatoliĭ Andriĭovych"
Published as: Martynyuk A. A.; Martynyuk, A.; Martynyuk, A. A.; Martynyuk, Anatolii A.; Martynyuk, Anatoliy; Martynyuk, Anatoliy A.; Martynyuk, Anatoliĭ A.; Martynyuk, Anatoly; Martynyuk, Anatoly A.; Martynyuk, À. À.
Homepage: http://www.martynyuk.kiev.ua/
External Links: Math-Net.Ru · Wikidata · dblp
Documents Indexed: 467 Publications since 1967, including 31 Books
Reviewing Activity: 1,057 Reviews
Biographic References: 3 Publications
all top 5

Co-Authors

194 single-authored
28 Nikitina, Nelly Vladimirovna
18 Slyn’ko, Vitalii Ivanovich
17 Martynyuk-Chernienko, Yu. A.
15 Chernetskaya, Larisa Nikolaevna
13 Mytropol’skyĭ, Yuriĭ Oleksiĭovych
12 Luk’yanova, T. A.
12 Miladzhanov, V. G.
11 Khoroshun, A. S.
10 Lila, D. M.
9 Stamova, Ivanka Milkova
8 Lakshmikantham, Vangipuram
8 Stavroulakis, Ioannis P.
7 Aleksandrov, Aleksandr Yur’evich
7 Kozubovskaya, I. G.
6 Leela, Srinivasa G.
6 Samoĭlenko, Anatoliĭ Mykhaĭlovych
6 Yanishevskiĭ, A. P.
5 Begmuratov, K. A.
5 Il’in, Vladimir Aleksandrovich
5 Obolenskii, A. Yu.
5 Sun, Zhenqi
4 Dshalalow, Jewgeni H.
4 Freedman, Herbert Irving
4 Gaĭshun, Ivan Vasil’vich
4 Karimzhanov, A.
4 Kirichenko, N. F.
4 Mishchenko, Evgeniĭ Frolovich
4 Rozov, Nikolaĭ Khristovich
4 Stamov, Gani Trendafilov
3 Babenko, Sergei V.
3 Chernienko, A. N.
3 Chernienko, V. A.
3 Izobov, Nikolaĭ Alekseevich
3 Kiguradze, Ivan Tarielovich
3 Kudryavtsev, Lev Dmitrievich
3 Platonov, Alekseĭ Viktorovich
3 Pliss, Viktor Aleksandrovich
3 Shemyakina, Tamara Kuz’minichna
3 Sukennik, A. A.
3 Zadorozhny, Vladimir F.
2 Babenko, Ekaterina A.
2 Bohner, Martin J.
2 Boĭchuk, Oleksandr Andriĭovych
2 Denisenko, V. S.
2 Gojsa, L. N.
2 Grujić, Ljubomir T.
2 Ivanov, I. L.
2 Khusainov, Denis Ya.
2 Korovin, Sergeĭ Konstantinovich
2 Kozhukhovskii, N. N.
2 Krapivnyj, Yu. N.
2 Kurzhanskiĭ, Aleksandr Borisovich
2 Matvijchuk, K. S.
2 Mazko, Alexey G.
2 Millionshchikov, Vladimir Mikhaĭlovich
2 Rasshyvalova, S. N.
2 Ribbens-Pavella, Mania
2 Rizaev, A.
2 Sivasundaram, Seenith
2 Vassilyev, Stanislav N.
2 Zhabko, Alexey P.
2 Zhukovskiĭ, Vladislav Iosifovich
1 Abrashin, Vyacheslav Nikolaevich
1 Anosov, Dmitriĭ Viktorovich
1 Arutyunov, Aram Vladimirovic
1 Bibikov, Yuriĭ Nikolaevich
1 Bogdanova, S. S.
1 Borisenko, S. D.
1 Borne, Pierre
1 Bulgakov, Alexander I.
1 Burton, Theodore Allen
1 Cruz-Hernández, César
1 Defoort, Michael
1 Djemai, Mohamed
1 Dzhalalov, E. E.
1 Emel’yanov, Stanislav Vasil’evich
1 Graef, John R.
1 Grygorenko, Yaroslav Mykhaĭlovych
1 Gutovskii, R.
1 Hamaya, Yoshihiro
1 Kato, Junji
1 Kats, I. Ya.
1 Kondrat’ev, Vladimir Aleksandrovich
1 Korolyuk, Volodymyr Semenovych
1 Koshlyakov, Vladimir Nikolaevich
1 Kosolapov, V. I.
1 Kovalev, Alexander M.
1 Kozlov, Valeriĭ Vasil’evich
1 Krapivnyi, Yu. N.
1 Kravchenko, Viktor Filippovich
1 Larin, Vladimir Borisovich
1 Lila, S.
1 Lukovsky, Ivan Oleksandrovych
1 Lula, D. M.
1 Makarov, Evgeniĭ Konstantinovich
1 Maksimov, Vladimir Petrovich
1 Martynyuk, Vladislav A.
1 Mazanik, Sergeĭ Alekseevich
1 Moiseev, Evgeniĭ Ivanovich
1 Mullazhonov, R. V.
...and 40 more Co-Authors
all top 5

Serials

49 Prikladnaya Mekhanika
41 Soviet Applied Mechanics
39 Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky
34 Nonlinear Dynamics and Systems Theory
27 Ukraïns’kyĭ Matematychnyĭ Zhurnal
26 International Applied Mechanics
17 Ukrainian Mathematical Journal
15 Dopovidi Akademiï Nauk Ukraïns’koï RSR. Seriya A
13 Soviet Mathematics. Doklady
13 Doklady Mathematics
13 Differential Equations
8 Differential Equations
7 Russian Academy of Sciences. Doklady. Mathematics
7 Zagadnienia Drgań Nieliniowych
6 Differentsial’nye Uravneniya
6 Journal of Mathematical Sciences (New York)
6 Matematicheskaya Fizika
5 Teorijska i Primenjena Mehanika
5 Nonlinear Analysis. Theory, Methods & Applications
4 Differential Equations and Dynamical Systems
4 Nonlinear Oscillations
3 Journal of Mathematical Analysis and Applications
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Journal of Applied Mathematics and Stochastic Analysis
3 Communications in Applied Analysis
3 Pure and Applied Mathematics, Marcel Dekker
3 Nonlinear Analysis. Hybrid Systems
3 Stability, Oscillations and Optimization of Systems
2 Applicable Analysis
2 Doklady Akademii Nauk Ukrainskoĭ SSR, Seriya A
2 International Journal of Non-Linear Mechanics
2 Rocky Mountain Journal of Mathematics
2 Avtomatika
2 Dopovidi Akademiï Nauk Ukraïni
2 The Canadian Applied Mathematics Quarterly
2 Matematychni Metody ta Fizyko-Mekhanichni Polya
2 Systems & Control: Foundations & Applications
2 Pure and Applied Mathematics (Boca Raton)
1 Soviet Journal of Nuclear Physics
1 Stochastic Analysis and Applications
1 Soviet Journal of Automation and Information Sciences
1 Differential and Integral Equations
1 Panamerican Mathematical Journal
1 Automation and Remote Control
1 Neural, Parallel & Scientific Computations
1 Journal of Automation and Information Sciences
1 Electronic Journal of Differential Equations (EJDE)
1 Visnyk. Seriya: Fizyko-Matematychni Nauky. Kyïvs’kyĭ Universytet Imeni Tarasa Shevchenka
1 Communications in Nonlinear Science and Numerical Simulation
1 Trudy Instituta Matematiki
1 Nonlinear Analysis. Real World Applications
1 Nonlinear Analysis. Modelling and Control
1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
1 Cubo
1 Lecture Notes in Control and Information Sciences
1 Libertas Mathematica. New Series

Publications by Year

Citations contained in zbMATH Open

181 Publications have been cited 928 times in 600 Documents Cited by Year
Stability analysis of nonlinear systems. Zbl 0676.34003
Lakshmikantham, V.; Leela, S.; Martynyuk, A. A.
230
1989
Practical stability of nonlinear systems. Zbl 0753.34037
Lakshmikantham, V.; Leela, S.; Martynyuk, A. A.
89
1990
Practical stability of motion. Zbl 0539.70031
Martynyuk, A. A.
23
1983
Stability by Lyapunov’s matrix function method with applications. Zbl 0907.34034
Martynyuk, A. A.
20
1998
Large scale systems stability under structural and singular perturbations. Zbl 0649.93003
Grujić, Lj. T.; Martynyuk, A. A.; Ribbens-Pavella, M.
20
1987
Stability of motion: the comparison method. Stability: theory, methods and applications. Zbl 0852.34057
Lakshmikantham, V.; Leela, S.; Martynyuk, A. A.
19
1991
The Lyapunov matrix-function. Zbl 0547.34041
Martynyuk, A. A.
18
1984
Integral inequalities and stability of motion. Zbl 0462.34001
Martynyuk, A. A.; Gutovski, R.
17
1979
Technical stability in dynamics. Zbl 0266.70014
Martynyuk, A. A.
17
1973
Stability and stabilization of nonlinear systems with random structures. Zbl 1026.93002
Kats, I. Ya.; Martynyuk, A. A.
16
2002
Stability of motions: the role of multicomponent Liapunov’s functions. Zbl 1188.34001
Martynyuk, A. A.
15
2007
Stability of motion of nonautonomous systems. (Method of limiting equations) Transl. from the Russian. Zbl 0866.34046
Kato, J.; Martynyuk, A. A.; Shestakov, A. A.
14
1996
Qualitative methods in nonlinear dynamics: novel approaches to Liapunov’s matrix functions. Zbl 0981.93002
Martynyuk, A. A.
13
2002
Stability of motion: method of integral inequalities. Ed. and with a preface by Yu. A. Mitropol’skiĭ. Zbl 0751.70014
Martynyuk, A. A.; Lakshmikantham, V.; Leela, S.
13
1989
Stability theory for dynamic equations on time scales. Zbl 1359.34002
Martynyuk, Anatoly A.
12
2016
Uncertain dynamical systems. Stability and motion control. Zbl 1241.37001
Martynyuk, A. A.; Martynyuk-Chernienko, Yu. A.
11
2012
Elements of Lyapunov stability theory for dynamic equations on time-scale. Zbl 1164.34435
Bohner, M.; Martynyuk, A. A.
10
2007
Elements of stability theory of A. M. Lyapunov for dynamic equations on time scales. Zbl 1133.93035
Bohner, M.; Martynyuk, A. A.
10
2007
Stability of large-scale systems under structural and singular perturbations. Zbl 0582.93048
Grujić, L. T.; Martynyuk, A. A.; Ribbens-Pavella, M.
10
1984
On application of the Lyapunov matrix-functions in the theory of stability. Zbl 0609.34057
Martynyuk, A. A.
9
1985
On stability of systems with developing disturbances. Zbl 0311.34065
Martynyuk, A. A.
9
1975
Motion stability of nonlinear impulsive system. Zbl 1079.34525
Martynyuk, A. A.; Slyn’ko, V. I.
8
2004
Stability analysis of nonlinear systems. 2nd edition. Zbl 1405.93006
Lakshmikantham, Vangipuram; Leela, Srinivasa; Martynyuk, Anatoly A.
7
2015
Bifurcations and multistability of the oscillations of a three-dimensional system. Zbl 1331.34068
Martynyuk, A. A.; Nikitina, N. V.
6
2015
Asymptotic stability criterion for nonlinear monotonic systems and its applications (review). Zbl 1295.93069
Martynyuk, A. A.
6
2011
Setting up of the Lyapunov function for a class of systems with quasiperiodic coefficients. Zbl 1189.70084
Lila, D. M.; Martynyuk, A. A.
6
2008
Stability of periodic motions of quasilinear systems. Zbl 1199.34262
Lila, D. M.; Martynyuk A. A.
6
2008
Parametric asymptotic stability of large scale systems. Zbl 1189.70085
Martynyuk, A. A.; Khoroshun, A. S.
6
2008
Uniform asymptotic stability of a singularly perturbed system via the Lyapunov matrix function. Zbl 0614.34049
Martynyuk, A. A.
6
1987
Investigation of stability of large-scale systems on the basis of Lyapunov’s matrix functions. Zbl 0624.70019
Martynyuk, A. A.; Shegai, V. V.
6
1986
The Lyapunov matrix-function and stability of hybrid systems. Zbl 0608.34058
Martynyuk, A. A.
6
1986
Stability of solutions of autonomous Wazewski systems. Zbl 0527.34055
Martynyuk, A. A.; Obolenskij, A. Yu.
6
1981
Parametric stability of singularly perturbed nonlinear uncertain systems. Zbl 1272.70097
Martynyuk, A. A.; Khoroshun, A. S.
5
2011
Stability in the models of real world phenomena. Zbl 1283.70006
Martynyuk, A. A.
5
2011
On stability of some solutions for equations of locked lasing of optically coupled lasers with periodic pumping. Zbl 1277.78028
Lila, D. M.; Martynyuk, A. A.
5
2009
On the theory of stability of matrix differential equations. Zbl 1224.34170
Lila, D. M.; Martynyuk, A. A.
5
2009
Technical stability of nonlinear and control systems. Zbl 0497.70040
Martynyuk, A. A.
5
1979
On the stability of analytic motions. Zbl 0238.34087
Martynyuk, A. A.
5
1972
On periodic motions in three-dimensional systems. Zbl 1331.34023
Martynyuk, A. A.; Nikitina, N. V.
4
2015
Elements of the theory of stability of hybrid systems (review). Zbl 1331.93001
Martynyuk, A. A.
4
2015
On periodic motion and bifurcations in three-dimensional nonlinear systems. Zbl 1345.37016
Martynyuk, A. A.; Nikitina, N. V.
4
2015
Weakly connected nonlinear systems. Boundedness and stability of motion. Zbl 1307.34002
Martynyuk, Anatoly; Chernetskaya, Larisa; Martynyuk, Vladislav
4
2013
Development of instability in a rotating elastoplastic annular disk. Zbl 1295.74031
Lila, D. M.; Martynyuk, A. A.
4
2012
Stability theory of solutions of dynamic equations on time scales. Zbl 1262.34002
Martynyuk, A. A.
4
2012
Novel qualitative methods of nonlinear mechanics and their application to the analysis of multifrequency oscillations, stability, and control problems. Zbl 1177.93002
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.
4
2009
Stability results for large-scale difference systems via matrix-valued Liapunov functions. Zbl 1132.39006
Martynyuk, A. A.; Slyn’ko, V. I.
4
2007
On the theory of Lyapunov’s direct method. Zbl 1327.34100
Martynyuk, A. A.
4
2006
Stability theorems in impulsive functional differential equations with infinite delay. Zbl 1047.34087
Martynyuk, A. A.; Shen, J. H.; Stavroulakis, I. P.
4
2003
The Lyapunov matrix function and the stability of hybrid systems. Zbl 0597.70022
Martynyuk, A. A.
4
1985
Probabilistic estimates for solutions of a linear system of differential equations with stochastic coefficients. Zbl 0232.60030
Kirichenko, N. F.; Martynyuk, A. A.
4
1972
Stability and bifurcation in a model of the magnetic field of the earth. Zbl 1314.86008
Martynyuk, A. A.; Nikitina, N. B.
3
2014
Practical stability of a moving robot with respect to given domains. Zbl 1294.70006
Martynyuk, À. À.; Khoroshun, À. S.; Chernienko, À. N.
3
2014
Analysis of the trajectory set of nonlinear dynamics: estimates of solutions and comparison principle. Zbl 1266.34029
Martynyuk, A. A.; Martynyuk-Chernienko, Yu. A.
3
2012
On the theory of parametric stability. Zbl 1150.34494
Martynyuk, A. A.; Khoroshun, A. S.
3
2007
Block-diagonal matrix Lyapunov function and stability of uncertain impulsive system. Zbl 1079.34524
Martynyuk, A. A.
3
2004
Advances in stability theory at the end of the 20th century. Zbl 1020.00004
Martynyuk, A. A. (ed.)
3
2003
On some directions of V. Laksmikantham investigations on the theory of differential equations and their applications. Zbl 0633.34001
Mitropol’skij, Yu. A.; Lila, S.; Martynyuk, A. A.
3
1986
Motion stability in a case that is close to the critical one. Zbl 0581.70018
Martynyuk, A. A.; Nikitina, N. V.
3
1985
Methods and problems of the practical stability of motion theory. Zbl 0569.34046
Martynyuk, A. A.
3
1984
Construction of solutions of systems of differential equations in the region of asymptotic stability. Zbl 0209.39403
Martynyuk, A. A.
3
1970
Robust stabilization of bilinear systems under interval initial conditions. Zbl 1398.93282
Martynyuk, A. A.; Babenko, E. A.
2
2017
Stabilization of the motion of pseudo-linear affine systems. Zbl 1375.93103
Martynyuk, A. A.; Chernetskaya, L. N.; Martynyuk-Chernienko, Yu. A.
2
2017
Stabilization of the motion of affine systems. Zbl 1382.93025
Babenko, E. A.; Martynyuk, A. A.
2
2016
Integral estimates of solutions to nonlinear systems and their applications. Zbl 1343.34131
Martynyuk, A. A.; Khusainov, D. Ya.; Chernienko, V. A.
2
2016
Stability of nonlinear systems under structural perturbations. Zbl 1330.34011
Martynyuk, A. A.; Miladzhanov, V. G.
2
2015
Revisiting the theory of stability over a finite interval. Zbl 1314.70044
Martynyuk, A. A.; Khoroshun, A. S.
2
2014
Nonlinear dynamic inequalities and stability of quasilinear systems on time scales. Zbl 1298.34172
Babenko, S. V.; Martynyuk, A. A.
2
2013
Analysis of the set of trajectories of nonlinear dynamics: stability and boundedness of motions. Zbl 1277.34073
Martynyuk, A. A.; Martynyuk-Chernienko, Yu. A.
2
2013
Revisiting the theory of stability of stationary linear large-scale systems. Zbl 1295.93060
Martynyuk, A. A.; Mullazhonov, R. V.
2
2012
On instability of a rotating elastoplastic composite plane circular disc. Zbl 1274.74136
Lila, D. M.; Martynyuk, A. A.
2
2012
On the stabilization of the motion of hybrid systems with aftereffect. Zbl 1265.74045
Martynyuk, A. A.
2
2012
On the robust stability of impulsive systems with delay. Zbl 1265.34267
Martynyuk, A. A.; Martynyuk-Chernienko, Yu. A.
2
2012
On the connective stability of impulsive large-scale systems with delay. Zbl 1265.34266
Martynyuk, A. A.; Ivanov, I. L.
2
2012
Construction and applications of the matrix-valued Liapunov functions for some quasi-periodic systems. Zbl 1207.34067
Lila, D. M.; Martynyuk, A. A.
2
2009
On Lyapunov stability of impulsive Takagi-Sugeno fuzzy systems. Zbl 1277.93059
Denisenko, V. S.; Martynyuk, A. A.; Slyn’ko, V. I.
2
2008
On the exponential stability of a dynamical system on a time scale. Zbl 1234.34056
Martynyuk, A. A.
2
2008
Oscillations of conservative systems with complex trajectories. Zbl 1199.34233
Martynyuk, A. A.; Nikitina, N. V.
2
2008
Stability of dynamical systems in metric space. Zbl 1088.34056
Martynyuk, A. A.
2
2005
Stability analysis by comparison technique. Zbl 1095.34032
Martynyuk, A. A.
2
2005
Matrix Lyapunov functions and stability analysis of dynamical systems. Zbl 1039.34047
Martynyuk, A. A.
2
2003
Stability analysis of discrete systems. Zbl 1001.93061
Martynyuk, A. A.
2
2000
Boundedness criteria for solutions of perturbed Kolmogorov population models. Zbl 0844.92018
Freedman, H. I.; Martynyuk, A. A.
2
1995
Analysis of stability problems via matrix Lyapunov functions. Zbl 0714.34082
Martynyuk, Anatoly A.
2
1990
Hierarchical matrix Lyapunov function. Zbl 0716.34056
Martynyuk, A. A.
2
1989
Investigation of the stability of singularly perturbed autonomous systems by means of matrix Lyapunov functions. Zbl 0673.34058
Martynyuk, A. A.; Miladzhanov, V. G.
2
1988
Method of the application of matrix functions in stability theory. Zbl 0664.70032
Martynyuk, A. A.; Krapivnyi, Yu. N.
2
1988
Limiting equations and stability of non-stationary motions. Zbl 0651.34047
Martynyuk, A. A.; Karimzhanov, A.
2
1988
A survey of collected works of V. Lakshmikantham. Zbl 0712.34014
Leela, S.; Mitropol’skij, Yu. A.; Martynyuk, A. A.
2
1986
Uniform asymptotic stability of a singularly perturbed system on the basis of the Lyapunov matrix function. Zbl 0611.34047
Martynyuk, A. A.
2
1986
On a comparison method in the problem of continuous dependence on the parameter. Zbl 0513.34005
Martynyuk, A. A.
2
1982
Nonlinear comparison systems in stability problems of large-scale systems. Zbl 0513.70026
Martynyuk, A. A.; Nikitina, N. V.
2
1981
A generalization of the second theorem of N. N. Bogolyubov’s averaging principle. Zbl 0448.34049
Martynyuk, A. A.
2
1979
Qualitative and numerical-analytical investigation of the stability of motion. Zbl 0395.70009
Martynyuk, A. A.
2
1977
Integro-differential inequalities in the theory of stability of motion. Zbl 0342.34036
Martynyuk, A. A.
2
1976
Decomposition and aggregation in the analysis of systems. Zbl 0435.70011
Martynyuk, A.
2
1975
Stability of sets of hybrid dynamical systems with aftereffect. Zbl 1435.34066
Martynyuk, A. A.; Stamova, I. M.
1
2019
Practical stability analysis with respect to manifolds and boundedness of differential equations with fractional-like derivatives. Zbl 07054933
Martynyuk, Anatoliy; Stamov, Gani; Stamova, Ivanka
1
2019
Qualitative analysis of set-valued differential equations. Zbl 1428.49002
Martynyuk, Anatoly A.
1
2019
Constructive estimation of the Lyapunov function for quadratic nonlinear systems. Zbl 1397.70031
Martynyuk, A. A.; Khusainov, D. Ya.; Chernienko, V. A.
1
2018
Fractional-like derivative of Lyapunov-type functions and applications to stability analysis of motion. Zbl 1387.34007
Martynyuk, Anatoliy A.; Stamova, Ivanka M.
1
2018
Stability of sets of hybrid dynamical systems with aftereffect. Zbl 1435.34066
Martynyuk, A. A.; Stamova, I. M.
1
2019
Practical stability analysis with respect to manifolds and boundedness of differential equations with fractional-like derivatives. Zbl 07054933
Martynyuk, Anatoliy; Stamov, Gani; Stamova, Ivanka
1
2019
Qualitative analysis of set-valued differential equations. Zbl 1428.49002
Martynyuk, Anatoly A.
1
2019
Constructive estimation of the Lyapunov function for quadratic nonlinear systems. Zbl 1397.70031
Martynyuk, A. A.; Khusainov, D. Ya.; Chernienko, V. A.
1
2018
Fractional-like derivative of Lyapunov-type functions and applications to stability analysis of motion. Zbl 1387.34007
Martynyuk, Anatoliy A.; Stamova, Ivanka M.
1
2018
Robust stabilization of bilinear systems under interval initial conditions. Zbl 1398.93282
Martynyuk, A. A.; Babenko, E. A.
2
2017
Stabilization of the motion of pseudo-linear affine systems. Zbl 1375.93103
Martynyuk, A. A.; Chernetskaya, L. N.; Martynyuk-Chernienko, Yu. A.
2
2017
Comparison principle based on Minkowski mixed volumes for a family of differential equations. Zbl 1393.34031
Martynyuk, A. A.
1
2017
Stability theory for dynamic equations on time scales. Zbl 1359.34002
Martynyuk, Anatoly A.
12
2016
Stabilization of the motion of affine systems. Zbl 1382.93025
Babenko, E. A.; Martynyuk, A. A.
2
2016
Integral estimates of solutions to nonlinear systems and their applications. Zbl 1343.34131
Martynyuk, A. A.; Khusainov, D. Ya.; Chernienko, V. A.
2
2016
Dwell time stability analysis for nonlinear switched difference systems. Zbl 1359.39008
Aleksandrov, A. Yu.; Martynyuk, A. A.; Platonov, A. V.
1
2016
Stability analysis of nonlinear systems. 2nd edition. Zbl 1405.93006
Lakshmikantham, Vangipuram; Leela, Srinivasa; Martynyuk, Anatoly A.
7
2015
Bifurcations and multistability of the oscillations of a three-dimensional system. Zbl 1331.34068
Martynyuk, A. A.; Nikitina, N. V.
6
2015
On periodic motions in three-dimensional systems. Zbl 1331.34023
Martynyuk, A. A.; Nikitina, N. V.
4
2015
Elements of the theory of stability of hybrid systems (review). Zbl 1331.93001
Martynyuk, A. A.
4
2015
On periodic motion and bifurcations in three-dimensional nonlinear systems. Zbl 1345.37016
Martynyuk, A. A.; Nikitina, N. V.
4
2015
Stability of nonlinear systems under structural perturbations. Zbl 1330.34011
Martynyuk, A. A.; Miladzhanov, V. G.
2
2015
Qualitative analysis of singularly perturbed Takagi-Sugeno systems: the case of unstable subsystems. Zbl 1327.34088
Khoroshun, A. S.; Martynyuk, A. A.
1
2015
Analysis of the set of trajectories of nonlinear dynamics: equations with causal robust operator. Zbl 1322.34027
Martynyuk, A. A.; Martynyuk-Chernienko, Yu. A.
1
2015
Analysis of a set of nonlinear dynamics trajectories: stability of difference equations. Zbl 1297.39019
Aleksandrov, A. Yu.; Martynyuk, A. A.; Platonov, A. V.
1
2015
Stability and bifurcation in a model of the magnetic field of the earth. Zbl 1314.86008
Martynyuk, A. A.; Nikitina, N. B.
3
2014
Practical stability of a moving robot with respect to given domains. Zbl 1294.70006
Martynyuk, À. À.; Khoroshun, À. S.; Chernienko, À. N.
3
2014
Revisiting the theory of stability over a finite interval. Zbl 1314.70044
Martynyuk, A. A.; Khoroshun, A. S.
2
2014
On the stability of motion with respect to two measures for systems with aftereffect and impulsive perturbations. Zbl 1317.34164
Martynyuk, A. A.
1
2014
Stability of dynamic graph on time scales. Zbl 1304.34158
Babenko, S. V.; Martynyuk, A. A.
1
2014
Stability of controlled systems with two controls on the time scale. Zbl 1304.34157
Babenko, S. V.; Martynyuk, A. A.
1
2014
Weakly connected nonlinear systems. Boundedness and stability of motion. Zbl 1307.34002
Martynyuk, Anatoly; Chernetskaya, Larisa; Martynyuk, Vladislav
4
2013
Nonlinear dynamic inequalities and stability of quasilinear systems on time scales. Zbl 1298.34172
Babenko, S. V.; Martynyuk, A. A.
2
2013
Analysis of the set of trajectories of nonlinear dynamics: stability and boundedness of motions. Zbl 1277.34073
Martynyuk, A. A.; Martynyuk-Chernienko, Yu. A.
2
2013
Direct Lyapunov method on time scales. Zbl 1307.34137
Martynyuk, A. A.
1
2013
On the instability of motion under interval initial data. Zbl 1289.93103
Martynyuk, A. A.
1
2013
On the connective stability of three-machine energetic system with impulsive disturbances. Zbl 1289.70010
Martynyuk, A. A.; Ivanov, I. L.
1
2013
On the stability of a motion under interval initial conditions. Zbl 1289.34135
Martynyuk, A. A.
1
2013
Sufficient conditions of connective stability of motion on time scale. Zbl 1272.34123
Luk’yanova, T. A.; Martynyuk, A. A.
1
2013
Uncertain dynamical systems. Stability and motion control. Zbl 1241.37001
Martynyuk, A. A.; Martynyuk-Chernienko, Yu. A.
11
2012
Development of instability in a rotating elastoplastic annular disk. Zbl 1295.74031
Lila, D. M.; Martynyuk, A. A.
4
2012
Stability theory of solutions of dynamic equations on time scales. Zbl 1262.34002
Martynyuk, A. A.
4
2012
Analysis of the trajectory set of nonlinear dynamics: estimates of solutions and comparison principle. Zbl 1266.34029
Martynyuk, A. A.; Martynyuk-Chernienko, Yu. A.
3
2012
Revisiting the theory of stability of stationary linear large-scale systems. Zbl 1295.93060
Martynyuk, A. A.; Mullazhonov, R. V.
2
2012
On instability of a rotating elastoplastic composite plane circular disc. Zbl 1274.74136
Lila, D. M.; Martynyuk, A. A.
2
2012
On the stabilization of the motion of hybrid systems with aftereffect. Zbl 1265.74045
Martynyuk, A. A.
2
2012
On the robust stability of impulsive systems with delay. Zbl 1265.34267
Martynyuk, A. A.; Martynyuk-Chernienko, Yu. A.
2
2012
On the connective stability of impulsive large-scale systems with delay. Zbl 1265.34266
Martynyuk, A. A.; Ivanov, I. L.
2
2012
Stability of motion of nonlinear systems with fuzzy characteristics of parameters. Zbl 1263.34008
Martynyuk, A. A.; Martynyuk-Chernienko, Yu. A.
1
2012
Asymptotic stability criterion for nonlinear monotonic systems and its applications (review). Zbl 1295.93069
Martynyuk, A. A.
6
2011
Parametric stability of singularly perturbed nonlinear uncertain systems. Zbl 1272.70097
Martynyuk, A. A.; Khoroshun, A. S.
5
2011
Stability in the models of real world phenomena. Zbl 1283.70006
Martynyuk, A. A.
5
2011
On the asymptotic stability of a neural network on a time scale. Zbl 1334.34195
Luk’yanova, T. A.; Martynyuk, A. A.
1
2011
Uncertain dynamical systems. Stability and motion control. Transl. from the English. Zbl 1248.37003
Martynyuk, A. A.; Martynyuk-Chernienko, Yu. A.; Sun, Zhen Qi
1
2011
About the stability loss of a rotating elastoplastic circular disc. Zbl 1230.74044
Lula, D. M.; Martynyuk, A. A.
1
2011
Professor V.I. Zubov. Zbl 1300.34003
Aleksandrov, A. Yu.; Martynyuk, A. A.; Zhabko, A. P.
1
2010
Integral inequalities and stability of an equilibrium state on a time scale. Zbl 1240.93267
Luk’yanova, T. A.; Martynyuk, A. A.
1
2010
On stability of Hopfield neural network on time scales. Zbl 1344.34099
Martynyuk, A. A.; Lukyanova, T. A.; Rasshyvalova, S. N.
1
2010
On a mathematical model of world dynamics and sustainable development. Zbl 1224.91111
Martynyuk, A. A.
1
2010
On the Lyapunov direct method for equations with fractional derivatives. Zbl 1224.34172
Martynyuk, A. A.
1
2010
Nikolai Alekseevich Izobov (a tribute in honor of his 70th birthday). Zbl 1191.01030
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.
1
2010
On the stability of a neural network on the time scale. Zbl 1199.93239
Martynyuk, A. A.; Luk’yanova, T. A.
1
2010
On stability of some solutions for equations of locked lasing of optically coupled lasers with periodic pumping. Zbl 1277.78028
Lila, D. M.; Martynyuk, A. A.
5
2009
On the theory of stability of matrix differential equations. Zbl 1224.34170
Lila, D. M.; Martynyuk, A. A.
5
2009
Novel qualitative methods of nonlinear mechanics and their application to the analysis of multifrequency oscillations, stability, and control problems. Zbl 1177.93002
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.
4
2009
Construction and applications of the matrix-valued Liapunov functions for some quasi-periodic systems. Zbl 1207.34067
Lila, D. M.; Martynyuk, A. A.
2
2009
On instability of solutions of dynamic equations on time scales. Zbl 1199.34479
Martynyuk, A. A.
1
2009
Advances in chaotic dynamics and applictions. Zbl 1188.37004
Martynyuk, A. A. (ed.); Cruz-Hernández, C. (ed.)
1
2009
Setting up of the Lyapunov function for a class of systems with quasiperiodic coefficients. Zbl 1189.70084
Lila, D. M.; Martynyuk, A. A.
6
2008
Stability of periodic motions of quasilinear systems. Zbl 1199.34262
Lila, D. M.; Martynyuk A. A.
6
2008
Parametric asymptotic stability of large scale systems. Zbl 1189.70085
Martynyuk, A. A.; Khoroshun, A. S.
6
2008
On Lyapunov stability of impulsive Takagi-Sugeno fuzzy systems. Zbl 1277.93059
Denisenko, V. S.; Martynyuk, A. A.; Slyn’ko, V. I.
2
2008
On the exponential stability of a dynamical system on a time scale. Zbl 1234.34056
Martynyuk, A. A.
2
2008
Oscillations of conservative systems with complex trajectories. Zbl 1199.34233
Martynyuk, A. A.; Nikitina, N. V.
2
2008
Chaotic motions of systems with dry friction. Zbl 1199.34205
Martynyuk, A. A.; Nikitina, N. V.
1
2008
On stability of linear hybrid mechanical systems with distributed components. Zbl 1164.70340
Martynyuk, A. A.; Slyn’ko, V. I.
1
2008
On the principle of comparison for a system of matrix differential equations. Zbl 1164.93396
Martynyuk, A. A.
1
2008
On a nonlinear inequality on the time scale. Zbl 1194.26034
Martynyuk, A. A.; Slyn’ko, V. I.
1
2008
A general problem of the polydynamics on the time scale. Zbl 1150.93523
Martynyuk, A. A.
1
2008
Stability of motions: the role of multicomponent Liapunov’s functions. Zbl 1188.34001
Martynyuk, A. A.
15
2007
Elements of Lyapunov stability theory for dynamic equations on time-scale. Zbl 1164.34435
Bohner, M.; Martynyuk, A. A.
10
2007
Elements of stability theory of A. M. Lyapunov for dynamic equations on time scales. Zbl 1133.93035
Bohner, M.; Martynyuk, A. A.
10
2007
Stability results for large-scale difference systems via matrix-valued Liapunov functions. Zbl 1132.39006
Martynyuk, A. A.; Slyn’ko, V. I.
4
2007
On the theory of parametric stability. Zbl 1150.34494
Martynyuk, A. A.; Khoroshun, A. S.
3
2007
On the polydynamics of nonlinear systems on a time scale. Zbl 1157.39309
Martynyuk, A. A.
1
2007
Stability of a set of trajectories of nonlinear dynamics. Zbl 1168.34340
Martynyuk, A. A.
1
2007
On the construction of a matrix-valued Lyapunov function for a linear periodic system on a time scale. Zbl 1158.34331
Martynyuk, A. A.; Slyn’ko, V. I.
1
2007
On the theory of Lyapunov’s direct method. Zbl 1327.34100
Martynyuk, A. A.
4
2006
Stability of dynamical systems in metric space. Zbl 1088.34056
Martynyuk, A. A.
2
2005
Stability analysis by comparison technique. Zbl 1095.34032
Martynyuk, A. A.
2
2005
On the boundedness of motions of mechanical systems described by fuzzy ordinary differential equations. Zbl 1114.34311
Martynyuk, A. A.; Slyn’ko, V. I.
1
2005
Complex behavior of a trajectory in two- and one-frequency systems. Zbl 1089.70520
Martynyuk, A. A.; Nikitina, N. V.
1
2005
Investigation of composite oscillations. Zbl 1099.34514
Martynyuk, A. A.; Nikitina, N. V.
1
2005
Motion stability of nonlinear impulsive system. Zbl 1079.34525
Martynyuk, A. A.; Slyn’ko, V. I.
8
2004
Block-diagonal matrix Lyapunov function and stability of uncertain impulsive system. Zbl 1079.34524
Martynyuk, A. A.
3
2004
Matrix Liapunov’s functions method and stability analysis of continuous systems. Zbl 1091.34030
Martynyuk, A. A.
1
2004
Theory of practical stability with applications. Zbl 1074.93008
Martynyuk, A. A.; Sun, Zhen Qi
1
2004
Matrix-valued functionals approach for stability analysis of functional differential equations. Zbl 1046.34087
Martynyuk, A. A.
1
2004
Stability theorems in impulsive functional differential equations with infinite delay. Zbl 1047.34087
Martynyuk, A. A.; Shen, J. H.; Stavroulakis, I. P.
4
2003
Advances in stability theory at the end of the 20th century. Zbl 1020.00004
Martynyuk, A. A. (ed.)
3
2003
Matrix Lyapunov functions and stability analysis of dynamical systems. Zbl 1039.34047
Martynyuk, A. A.
2
2003
Stability in singularly perturbed systems with structural perturbations. Some applications. Zbl 1121.93312
Martynyuk, A. A.; Miladzhanov, V. G.
1
2003
Stability of singularly perturbed systems under structural perturbations. General theory. Zbl 1065.34045
Martynyuk, A. A.; Miladzhanov, V. G.
1
2003
A note on the theory of stability of impulsive systems with structural perturbations. Zbl 1065.34048
Martynyuk, A. A.; Chernetskaya, L. N.
1
2003
...and 81 more Documents
all top 5

Cited by 751 Authors

98 Martynyuk, Anatoliĭ Andriĭovych
26 Gumel, Abba B.
19 Stamova, Ivanka Milkova
14 Slyn’ko, Vitalii Ivanovich
13 Martynyuk-Chernienko, Yu. A.
12 Khoroshun, A. S.
12 Lakshmikantham, Vangipuram
11 Leela, Srinivasa G.
10 Lila, D. M.
10 Nikitina, Nelly Vladimirovna
10 Sharomi, Oluwaseun Y.
9 Agarwal, Ravi P.
9 Aleksandrov, Aleksandr Yur’evich
8 Agusto, Folashade B.
8 Platonov, Alekseĭ Viktorovich
7 Bowong, Samuel
7 Liu, Xinzhi
7 Okuonghae, Daniel
7 Slyusarchuk, Vasyl Yukhimovich
7 Stamov, Gani Trendafilov
6 Bainov, Drumi Dimitrov
6 Grujić, Ljubomir T.
6 Li, An
6 Medina, Rigoberto
6 Podder, Chandra Nath
5 Chernetskaya, Larisa Nikolaevna
5 Defoort, Michael
5 Djemai, Mohamed
5 Hove-Musekwa, Senelani Dorothy
5 Huo, Hai-Feng
5 Jiang, Guoping
5 Khristova, Snezhana G.
5 Tchuenche, Jean Michel
4 Çiçek, Muhammed
4 Denisenko, V. S.
4 Dvirny, Aleksandr Ivanovich
4 Hammami, Mohamed Ali
4 Matvijchuk, K. S.
4 Mukandavire, Zindoga
4 O’Regan, Donal
4 Song, Xinyu
4 Vorotnikov, V. I.
4 Yakar, Coskun
4 Zhang, Yi
3 Aleksandrov, A. Yu
3 Baker, Christopher T. H.
3 Borysenko, S. D.
3 Boukas, El-Kébir
3 Boukerrioua, Khaled
3 Chattopadhyay, Joydev
3 Chen, Guanrong
3 de León, Jesús Ponce
3 Elbasha, Elamin H.
3 Ghosh, Mini
3 Gücen, Mustafa Bayram
3 Haddad, Wassim Michael
3 Iovane, Gerardo
3 Karimzhanov, A.
3 Kaul, Saroop K.
3 Kurths, Jürgen
3 Lü, Xiaodong
3 Lungu, Nicolaie
3 Mbang, Joseph
3 Mytropol’skyĭ, Yuriĭ Oleksiĭovych
3 Pichkur, Volodymyr V.
3 Sathananthan, Sivapragasam
3 Shahruz, Sharam M.
3 Sivasundaram, Seenith
3 Sun, Ji Tao
3 Tang, Wallace Kit-Sang
3 Vasundhara Devi, Jonnalagadda
3 Zhang, Xianfu
2 Alsaleh, Aliya A.
2 Anabtawi, M. J.
2 Babenko, Ekaterina A.
2 Babenko, Sergei V.
2 Bai, Zhenguo
2 Ben Nasser, Bacem
2 Bená, Maria Aparecida
2 Benhadj Braiek, Naceur
2 Benner, Peter
2 Bohner, Martin J.
2 Bouafoura, Mohamed Karim
2 Cao, Jinde
2 Che, Yan
2 Chernienko, V. A.
2 Chinviriyasit, Settapat
2 Chinviriyasit, Wirawan
2 Chu, Tianguang
2 Clempner, Julio B.
2 Cruz-Hernández, César
2 Das, Prasenjit
2 Denysenko, V. S.
2 Efimov, Denis V.
2 Esteva, Lourdes
2 Feng, Zhaoshu
2 Forouzannia, Farinaz
2 Gallo, Angela
2 Garba, Salisu M.
2 Ghanmi, Boulbaba
...and 651 more Authors
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Cited in 130 Serials

55 International Applied Mechanics
32 Soviet Applied Mechanics
28 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
25 Applied Mathematics and Computation
22 Journal of Mathematical Analysis and Applications
22 Nonlinear Analysis. Theory, Methods & Applications
19 Ukrainian Mathematical Journal
15 Nonlinear Analysis. Hybrid Systems
14 Automatica
14 Automation and Remote Control
12 Journal of Mathematical Sciences (New York)
12 Nonlinear Dynamics
12 Differential Equations
11 Mathematical Biosciences
10 Journal of the Franklin Institute
9 Systems & Control Letters
9 Doklady Mathematics
9 Nonlinear Analysis. Real World Applications
9 Nonlinear Oscillations
8 Computers & Mathematics with Applications
8 Bulletin of Mathematical Biology
8 Chaos, Solitons and Fractals
8 Applied Mathematical Modelling
8 Abstract and Applied Analysis
7 Advances in Difference Equations
6 International Journal of Control
6 Journal of Difference Equations and Applications
6 Mathematical Problems in Engineering
6 European Journal of Control
6 Differential Equations and Dynamical Systems
6 Journal of Theoretical Biology
5 Applicable Analysis
5 Mathematical Notes
5 Journal of Computational and Applied Mathematics
5 Applied Mathematics Letters
5 Discrete Dynamics in Nature and Society
5 Journal of Biological Systems
5 International Journal of Biomathematics
4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
4 Communications in Nonlinear Science and Numerical Simulation
4 Mathematical Biosciences and Engineering
3 International Journal of Systems Science
3 Rocky Mountain Journal of Mathematics
3 Siberian Mathematical Journal
3 Stochastic Analysis and Applications
3 Mathematical and Computer Modelling
3 International Journal of Robust and Nonlinear Control
3 International Journal of Applied Mathematics and Computer Science
3 Journal of Applied Mathematics
3 Journal of Biological Dynamics
2 Journal of Applied Mathematics and Mechanics
2 Journal of Mathematical Biology
2 Mathematical Methods in the Applied Sciences
2 Physics Letters. A
2 Applied Mathematics and Mechanics. (English Edition)
2 Applied Numerical Mathematics
2 International Journal of Computer Mathematics
2 Russian Mathematics
2 Discrete and Continuous Dynamical Systems
2 Matematychni Metody ta Fizyko-Mekhanichni Polya
2 Mathematical Population Studies
2 Journal of Dynamical and Control Systems
2 The ANZIAM Journal
2 Discrete and Continuous Dynamical Systems. Series B
2 Stochastics and Dynamics
2 Journal of Applied Mathematics and Computing
2 Boundary Value Problems
2 Computational & Mathematical Methods in Medicine
2 Journal of Applied Analysis and Computation
2 International Journal of Systems Science. Principles and Applications of Systems and Integration
1 Archive for Rational Mechanics and Analysis
1 Bulletin of the Australian Mathematical Society
1 Computer Methods in Applied Mechanics and Engineering
1 Reviews in Mathematical Physics
1 Prikladnaya Matematika i Mekhanika
1 Acta Mathematica Vietnamica
1 Demonstratio Mathematica
1 Fuzzy Sets and Systems
1 Journal of Differential Equations
1 Journal of Optimization Theory and Applications
1 Kybernetika
1 Numerical Functional Analysis and Optimization
1 Proceedings of the American Mathematical Society
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Ricerche di Matematica
1 Theoretical Computer Science
1 Theoretical Population Biology
1 Tohoku Mathematical Journal. Second Series
1 Transactions of the American Mathematical Society
1 Circuits, Systems, and Signal Processing
1 Acta Applicandae Mathematicae
1 MCSS. Mathematics of Control, Signals, and Systems
1 Journal of Integral Equations and Applications
1 Japan Journal of Industrial and Applied Mathematics
1 Journal of Global Optimization
1 Dynamics and Control
1 Games and Economic Behavior
1 Communications in Partial Differential Equations
1 Analele Ştiinţifice ale Universităţii Al. I. Cuza din Iaşi. Serie Nouă. Matematică
1 Cybernetics and Systems Analysis
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