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Neliniĭni Kolyvannya

Short Title: Neliniĭni Kolyvannya
Publisher: National Academy of Sciences of Ukraine - NAS Ukraine (Natsional’na Akademiya Nauk Ukraïny - NAN Ukraïny), Institute of Mathematics (Instytut Matematyky), Kiev
ISSN: 1562-3076
Online: http://www.imath.kiev.ua/~nosc/web/contents.php
Translation: Journal of Mathematical Sciences (New York)
Nonlinear Oscillations
Predecessor: Nonlinear Oscillations
Comments: Journal; Indexed cover-to-cover; Latest articles indexed in the translation journal. As of Vol. 15 (2012) translated in: J. Math. Sci., New York. From Vol. 5 (2002) - Vol. 14 (2011) translated in: Nonlinear Oscil., N.Y. Vol. 4 (2001) of this journal has been published with the English title: Nonlinear Oscil.
Documents Indexed: 324 Publications (since 1998)
all top 5

Authors

14 Samoĭlenko, Anatoliĭ Mykhaĭlovych
7 Samoĭlenko, Valeriĭ Grygorovych
6 Luchka, A. Yu
6 Prykarpatsky, Anatoliy Karolevych
6 Ronto, Andrei
6 Teplinsky, Yuriy V.
5 Boĭchuk, Oleksandr Andriĭovych
5 Mytropol’skyĭ, Yuriĭ Oleksiĭovych
5 Plotnikov, Andreĭ Viktorovich
5 Prykarpatsky, Yarema Anatoliyovych
5 Slyusarchuk, Vasyl Yukhimovich
5 Tkachenko, Victor Ivanovich
4 Mel’nyk, Taras A.
4 O’Regan, Donal
4 Parasyuk, Igor O.
4 Pelyukh, Grygor P.
4 Prytula, Mykola Mykolaĭovych
4 Trotsenko, V. A.
3 Agarwal, Ravi P.
3 Bel’skiĭ, Denis V.
3 Bondarenko, Vitalij M.
3 Chuĭko, Sergeĭ Mikhaĭlovich
3 Feruk, V. A.
3 Grebenikov, Evgeniĭ Aleksandrovich
3 Grom’yak, M. I.
3 Kengne, Emmanuel
3 Maistrenko, Yuri L.
3 Matarazzo, Giovanni
3 Peljukh, A. G.
3 Petryshyn, P. I.
3 Plotnikov, Viktor A.
3 Shkil, N. I.
3 Sljusarchuk, V. E.
3 Stanzhytsky, A. N.
3 Tumbrukaki, A. V.
3 Yakovets, V. P.
2 Akhmet, Marat Ubaydulla
2 Akimenko, A. M.
2 Ali, L. A.
2 Aryasova, Olga V.
2 Ateiwi, Ali Mahmud
2 Bakhtin, Olexandr Konstantinovich
2 Benchohra, Mouffak
2 Bigun, Yaroslav I.
2 Blackmore, Denis L.
2 Bogolyubov, Nikolaĭ Nikolaevich jun.
2 Boĭchuk, A. O.
2 Boniforti, Maria Antonietta
2 Chuiko, An. S.
2 Covachev, Valéry C.
2 Dudnytsky, P. M.
2 Evtukhov, Vyacheslav Mikhaĭlovich
2 Golushkov, A. V.
2 Grod, I. M.
2 Hakl, Robert
2 Hentosh, Oksana E.
2 Iovane, Gerardo
2 Kapustyan, Oleksiy V.
2 Karandzhulov, L. I.
2 Kenzhebaev, K. K.
2 Kocherga, O. I.
2 Kolyada, Sergiǐ Fedorovych
2 Kulyk, V. L.
2 Kushnir, V. P.
2 Kuzina, Yuliya Vasil’evna
2 La Rocca, Michele
2 Lomtatidze, Alexander
2 Marchuk, N. A.
2 Nedokis, V. A.
2 Novyts’ky, V. V.
2 Olijnychenko, O. P.
2 Panchuk, A. A.
2 Prokopenya, Alexander N.
2 Prykarpatska, Natalia K.
2 Revenko, V. P.
2 Romanenko, Igor B.
2 Rontó, Miklós
2 Rutkas, Anatoliĭ Georgievich
2 Sciortino, Giampiero
2 Shepel’, Oleksandr A.
2 Shkil, M. I.
2 Skripnik, Natalia Viktorovna
2 Sljusarchuk, V. V.
2 Šremr, Jiří
2 Stanzhyts’ky, O. M.
2 Struk, O. O.
2 Tkachuk, V. S.
2 Trofimchuk, Sergei I.
2 Trotsenko, Yu. V.
2 Vitrychenko, I. E.
2 Vityuk, Aleksandr Nikanorovich
2 Yuryk, Ivan I.
2 Zavizion, Gennadii V.
2 Zernov, Alexander E.
1 Akhmetova, A. U.
1 Arara, Amaria
1 Bakushevych, Andrij Ya.
1 Bakushevych, Ya. M.
1 Bantsur, N. R.
1 Barannyk, Anatoliy F.
...and 218 more Authors
all top 5

Fields

167 Ordinary differential equations (34-XX)
62 Partial differential equations (35-XX)
27 Difference and functional equations (39-XX)
26 Dynamical systems and ergodic theory (37-XX)
16 Mechanics of particles and systems (70-XX)
15 Operator theory (47-XX)
15 Mechanics of deformable solids (74-XX)
13 Integral equations (45-XX)
13 Systems theory; control (93-XX)
10 Probability theory and stochastic processes (60-XX)
10 Fluid mechanics (76-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Biology and other natural sciences (92-XX)
3 History and biography (01-XX)
3 Number theory (11-XX)
3 Real functions (26-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
3 Numerical analysis (65-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Associative rings and algebras (16-XX)
2 Functions of a complex variable (30-XX)
2 General topology (54-XX)
2 Manifolds and cell complexes (57-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Optics, electromagnetic theory (78-XX)
2 Quantum theory (81-XX)
1 Nonassociative rings and algebras (17-XX)
1 Potential theory (31-XX)
1 Functional analysis (46-XX)
1 Differential geometry (53-XX)
1 Algebraic topology (55-XX)
1 Computer science (68-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Relativity and gravitational theory (83-XX)
1 Operations research, mathematical programming (90-XX)
1 Information and communication theory, circuits (94-XX)

Publications by Year

Citations contained in zbMATH Open

107 Publications have been cited 336 times in 291 Documents Cited by Year
Existence of solutions to systems of fractional order partial differential equations. Zbl 1092.35500
Vityuk, A. N.; Golushkov, A. V.
41
2004
Minimality of nonautonomous dynamical systems. Zbl 1092.37011
Kolyada, S.; Snoha, Ľ.; Trofimchuk, S.
19
2004
Extremal problems and quadratic coefficients. Zbl 1107.30019
Bakhtin, A. K.; Targonskiy, A. L.
10
2005
Asymptotic properties of global solutions for systems of functional differential neutral type equations with nonlinear deviations of argument. Zbl 1098.34576
Pelyukh, G. P.; Olijnychenko, O. P.
10
2002
Asymptotic methods in the theory of differential equations with multivalued right-hand side. Zbl 0939.34015
Plotnikov, V. A.
9
1998
Asymptotic properties of solutions to systems of linear functional-differential equations. Zbl 1007.34060
Olijnychenko, O. P.
9
2000
Eigenvalue characterization of a system of difference equations. Zbl 1092.39001
Agarwal, R. P.; O’Regan, D.; Wong, P. J. Y.
9
2004
Domain of convergence of iteration procedure for weakly nonlinear boundary-value problem. Zbl 1118.34303
Chuĭko, A. S.
7
2005
Fixed point theory for weakly sequentially upper semicontinuous maps with applications to differential inclusions. Zbl 1098.34514
Agarwal, R. P.; O’Regan, D.
7
2002
Properties of boundary states of a dynamical conflict system. Zbl 1090.93001
Bodnarchuk, M. V.; Koshmanenko, V. D.; Kharchenko, N. V.
7
2004
Structure of sets of solutions to a class of systems of neutral type nonlinear functional differential equations. Zbl 1098.34557
Pelyukh, G. P.
6
2002
Solutions to weakly nonlinear differential equations bounded on the whole axis. Zbl 1035.34021
Boĭchuk, A. A.
6
1999
Absolute instability conditions for solutions of differential difference equations. Zbl 1101.34334
Slyusarchuk, V. Yu.
6
2004
Global attractor for impulsive reaction-diffusion equation. Zbl 1108.35087
Iovane, G.; Kapustyan, O. V.
5
2005
Investigation of the structure of continuous solution sets for systems of linear difference equations with continuous argument. Zbl 1109.39003
Pelyukh, G. P.; Bogaj, N. A.
5
2005
On smoothness of generalized quasiperiodic solutions of Lagrangian systems on Riemannian manifolds of nonpositive curvature. Zbl 1006.37036
Zakharin, S. F.; Parasyuk, I. O.
5
1999
Projection-iterative method for systems of differential delay equations with constraints. Zbl 1083.34049
Luchka, A. Yu.; Feruk, V. A.
5
2003
The domain of dependence of inequality and asymptotic stability for a viscoelastic solid. Zbl 1071.74587
Fabrizio, M.; Lazzari, B.
4
1998
Asymptotics of solutions to nonlinear second order differential equations. Zbl 1115.34307
Kirillova, L. A.
4
2005
Integro-differential inclusions with Hukuhara derivative. Zbl 1110.45006
Plotnikov, A. V.; Tumbrukaki, A. V.
4
2005
A periodic type boundary-value problem for first order linear functional differential equations. Zbl 1098.34560
Hakl, R.; Lomtatidze, A.; Sremr, J.
4
2002
Global stability of a nonlinear difference equation. Zbl 1092.39009
Nenya, O. I.; Tkachenko, V. I.; Trofimchuk, S. I.
4
2004
Asymptotic representations of solutions to \(n\)-ordinary differential equation with exponential nonlinearity. Zbl 1100.34011
Shinkarenko, V. N.
4
2004
Lie-algebraic structure of Lax type integrable nonlocal differential-difference equations. Zbl 0996.34050
Prykarpatsky, A. K.; Hentosh, O. E.; Samoilenko, V. Hr.
4
2000
On multi-frequency systems with impulses. Zbl 0939.34036
Tkachenko, V. I.
3
1998
On free vibrations of a thick periodic junction with concentrated masses on the fine rods. Zbl 0953.35016
Mel’nyk, T. A.
3
1999
Necessary and sufficient existence and uniqueness conditions for bounded solutions to nonlinear differential equations. Zbl 0956.34008
Sljusarchuk, V. E.
3
1999
Averaging of a boundary-value problem with variation of the type of boundary conditions in a thick two-level junction. Zbl 1150.35360
Mel’nyk, T. A.; Vaschuk, P. S.
3
2005
Existence and asymptotic behavior of positive solutions to neutral impulsive differential equations. Zbl 1114.34063
Dimitrova, M. B.; Donev, V. I.
3
2005
Solution of the problem on eigenvibrations of open shells of revolution under singular excitation. Zbl 1109.74023
Trotsenko, V. A.; Trotsenko, Yu. V.
3
2005
Envelope modulation instability in nonlinear dissipative transmission line. Zbl 1098.82643
Kengne, E.
3
2002
Iteration method for integral equations with constraints. Zbl 1098.45505
Luchka, A. Yu.; Voznyuk, O. M.
3
2002
Power asymptotics solutions to differential equations with exponential nonlinearity. Zbl 1098.34545
Evtukhov, V. M.; Shynkarenko, V. N.
3
2002
Projection iterative method for differential equations with restrictions. Zbl 1098.34502
Luchka, A. Yu.
3
2002
Averaging of equations of controlled motion with multivalued quality criterion. Zbl 1001.49004
Plotnikov, A. V.
3
2000
Determination of the boundaries between the domains of stability and instability for Hill’s equation. Zbl 1086.34530
Grebenikov, E. A.; Prokopenya, A. N.
3
2003
Some symmetry properties of periodic solutions. Zbl 1083.34034
Ronto, A. N.; Ronto, N. I.
3
2003
Stability of a nonlinear pendulum. Zbl 1086.34531
Kengne, E.
3
2003
Numerical and analytical investigation of parametrized problems with nonlinear boundary conditions. Zbl 1083.34014
Ronto, M.; Shchobak, N.
3
2003
Geometric analysis of a singular Cauchy problem. Zbl 1100.34008
Zernov, A. E.; Kuzina, Yu. V.
3
2004
Structure of a set of continuous solutions of systems of nonlinear functional difference equations. Zbl 1095.39001
Pelyukh, G. P.
3
2004
A modified projection-iterative method for systems of quasilinear differential equations with delay and restriction. Zbl 1100.34052
Luchka, A. Yu.; Feruk, V. A.
3
2004
Averaging technique for discrete systems and its application to control problems. Zbl 1095.39002
Plotnikov, V. A.; Plotnikova, L. I.; Yarovoj, A. T.
3
2004
Averaging of the Robin problem for a thick multilevel junction. Zbl 1150.35358
De Maio, U.; Mel’nyk, T. A.; Perugia, C.
3
2004
Parametrization of three-point nonlinear boundary value problems. Zbl 1102.34011
Ronto, A. N.; Ronto, M.; Schobak, N. M.
3
2004
On structure of invariant measure for a class of discrete dynamical system. Zbl 1074.37501
Prykarpatsky, A. K.
3
2000
Periodic solutions to impulsive systems with a small delay in the critical case of the second order. Zbl 0949.34065
Boĭchuk, A.; Covachev, V.
2
1998
On invariant sets of differential equations with impulses. Zbl 0956.34035
Tkachenko, V. I.
2
1999
Soliton-like excitations in one-dimensional electrical transmission line. Zbl 1111.35083
Pelap, F. B.
2
2005
Preserving of one-side invariance in \(R^n\) with respect to systems of ordinary differential equations. Zbl 1098.93512
Yanchuk, S. V.
2
2002
Projection iteration methods for integral equations with weak nonlinearity and additional conditions. Zbl 1001.45006
Kovtun, O. I.
2
2000
Approximation of systems of differential difference equations by systems of ordinary differential equations. Zbl 1035.34070
Piddubna, L. A.; Cherevko, I. M.
2
1999
Positive definiteness criterion for a class of infinite quadratic forms. Zbl 1070.11014
Bondarenko, V. M.; Polishchuk, A. M.
2
2003
Volterra’s theory of elastic dislocations for a transversally isotropic homogeneous hollow cylinder. Zbl 1122.74423
Laserra, E.; Pecoraro, M.
2
2003
Oscillations in differential equations with state-dependent delays. Zbl 1086.34537
Niri, K.
2
2003
Some uniqueness results on controllability for functional semilinear differential equations in Fréchet spaces. Zbl 1087.34557
Arara, A.; Benchohra, M.; Ouahab, A.
2
2003
Topological entropy of a dynamical system in the space of one-dimensional mappings. Zbl 1092.37009
Kolyada, S. F.
2
2004
Modelling of phase synchronization in systems of two and three coupled oscillators. Zbl 1102.34036
Vasylenko, A.; Maistrenko, Yu.; Hasler, M.
2
2004
Global solvability of a degenerate semilinear differential operator equation. Zbl 1101.34045
Rutkas, A. G.; Khudoshin, I. G.
2
2004
Some exact solvability conditions for the initial problem for a system of linear functional differential equations. Zbl 1100.34050
Ronto, A. N.
2
2004
Nonlinear dynamics of a rotor with a vibrating axis, and sensitive dependence on the initial conditions of the forced vibration of a heavy rotor. Zbl 1056.70511
Hedrih, K.
2
2000
On the existence of \(T\)-periodic solutions to essentially nonlinear scalar differential equations with maxima. Zbl 0939.34034
Bantsur, N. R.; Trofimchuk, O. P.
1
1998
On some boundary value problems for the Lipschitz differential equations. Zbl 0946.34016
Ronto, A. N.
1
1998
Bifurcation of the Cantor set of coisotropic invariant tori of the Hamiltonian system under symplectic structure perturbation. Zbl 0935.37019
Parasyuk, I. O.
1
1998
On completeness of root vectors of the biquadratic operator bundle. Zbl 0941.47013
Radzievskij, G. V.
1
1998
Numerical analytical method of investigation of periodic solutions to partial integro-differential equations with impulsive effect. Zbl 1109.35012
Tkach, A. B.
1
2005
Estimates of some functionals for open sets. Zbl 1107.30018
Bakhtin, A. K.
1
2005
Implicit difference methods for first order partial functional differential equations. Zbl 1110.65081
Kepczynska, A.
1
2005
Invariant sets of difference systems and their stability. Zbl 1109.39014
Tkachuk, A. M.
1
2005
Solvability of the Cauchy problem for linear integro-differential equations with transformed argument. Zbl 1109.45003
Samojlenko, A. M.; Dil’na, N. Z.; Ronto, A. M.
1
2005
The Darboux problem for differential equation containing fractional derivative. Zbl 1111.35146
Vityuk, A. N.; Golushkov, A. V.
1
2005
A theorem on perturbation of coisotropic invariant tori of locally Hamiltonian systems and its application. Zbl 1107.37050
Lovejkin, Yu. V.; Parasyuk, I. O.
1
2005
Structure of characteristic surfaces related with partial differential equations of first and higher order. Zbl 1111.35065
Prykarpatskaya, N. K.
1
2005
Density of a set of unsolvable Cauchy problems in the set of all Cauchy problems in the case of infinite-dimensional Banach space. Zbl 1098.34501
Slyusarchuk, V. E.
1
2002
Existence and asymptotics of periodic solutions to degenerate singularly perturbed system of differential equations in the case of multiple elementary divisors. Zbl 1098.34549
Yakovets’, V. P.; Akimenko, A. M.
1
2002
Error estimations of the averaging method in impulsive boundary value problems with parameters. Zbl 1098.34511
Petryshyn, R. I.; Lakusta, L. M.
1
2002
Investigation of a semi-explicit system of differential equations in the case of variable matrix bundle. Zbl 1098.34582
Samkova, G. E.; Sharaj, N. V.
1
2002
Competitive extinction in Lotka–Volterra systems with impulses. Zbl 1098.34512
Struk, O. O.; Tkachenko, V. I.
1
2002
\(C^\rho\)-smoothness of an invariant torus of a countable system of difference equations determined on an \(m\)-dimensional torus. Zbl 1098.39502
Teplins’ky, Yu. V.; Marchuk, N. A.
1
2002
Two functional boundary-value problems with singularities in phase variables. Zbl 1098.34522
Stanek, S.
1
2002
Construction of asymptotic solutions for systems of differential equations with argument deviation and degenerate matrix at the derivatives. Zbl 1098.34572
Samusenko, P. F.
1
2002
Boundary value problems for linear systems. Zbl 1098.34504
Starun, I. I.
1
2002
On nonexistence of invariant submanifolds for differential systems with impulses. Zbl 1007.34009
Fečkan, M.
1
2000
Conditions of consistency of a problem with the constraints for singular integral equations. Zbl 1001.45005
Polishchuk, O. B.
1
2000
To the theory of geodesic lines equation. Zbl 1058.53507
Lukashevich, N. A.; Chichurin, A. V.
1
1999
Boundary value problem for systems of wave equations. Zbl 1011.35124
Marinets, V. V.; Rego, V. L.
1
1999
Pseudodifferential turning point in theory of singular perturbations. Zbl 1035.34060
Bobochko, V. N.; Bolilyj, V. A.
1
1999
The case of conditional stability for singularly perturbed Noetherian boundary value problem. Zbl 1036.34063
Karandzhulov, L. I.
1
1999
Existence and uniqueness of an analytical solution to a nonlinear functional-differential equation of neutral type. Zbl 1036.34073
Samoilenko, A. M.; Peljukh, A. G.
1
1999
Separately continuous mappings of many variables with the values in \(\sigma\)-metrizable spaces. Zbl 1006.54017
Masljuchenko, V. K.
1
1999
On a relationship between memory effects by Maxwell-Boltzmann and Kelvin-Voigt in linear viscoelastic theory. Zbl 1058.74519
Matarazzo, G.
1
1999
Symmetric classification of one-dimensional Fokker-Planck equation with arbitrary coefficients of drift and diffusion. Zbl 1008.60079
Spichak, S. V.; Stognij, V. I.
1
1999
Existence and asymptotic behavior of solutions to the Cauchy problem \(x(x')^\gamma = f(t,x,x')\), \(x(0)=0\). Zbl 1086.34504
Zernov, A. E.; Kuzina, Yu. V.
1
2003
Optimal existence theory for single and multiple positive periodic solutions to functional differential equations. Zbl 1083.34050
Jiang, D.; O’Regan, D.; Agarwal, R. P.
1
2003
Modified Ginzburg-Landau equation and Benjamin-Feir instability. Zbl 1073.35030
Kengne, E.
1
2003
A nonlinear model of age-dependent population dynamics. Zbl 1082.35158
Matsenko, V. G.
1
2003
Solution of the boundary value problems in the dynamics of a fluid in horizontal cylindrical cavities with partitions. Zbl 1122.76317
Trotsenko, V. A.
1
2003
Iteration method for systems of nonlinear differential delay equations with constraints. Zbl 1083.34048
Feruk, V. A.
1
2003
A point-countable nonlinear boundary value problem on semiaxis for ordinary differential equations in a space of bounded numerical sequences. Zbl 1086.34535
Teplinsky, Yu. V.; Nedokis, V. A.
1
2003
On an antiperiodic type boundary-value problem for first-order nonlinear functional-differential equations of non-Volterra’s type. Zbl 1086.34536
Hakl, R.; Lomtatidze, A.; Šremr, J.
1
2003
Extremal problems and quadratic coefficients. Zbl 1107.30019
Bakhtin, A. K.; Targonskiy, A. L.
10
2005
Domain of convergence of iteration procedure for weakly nonlinear boundary-value problem. Zbl 1118.34303
Chuĭko, A. S.
7
2005
Global attractor for impulsive reaction-diffusion equation. Zbl 1108.35087
Iovane, G.; Kapustyan, O. V.
5
2005
Investigation of the structure of continuous solution sets for systems of linear difference equations with continuous argument. Zbl 1109.39003
Pelyukh, G. P.; Bogaj, N. A.
5
2005
Asymptotics of solutions to nonlinear second order differential equations. Zbl 1115.34307
Kirillova, L. A.
4
2005
Integro-differential inclusions with Hukuhara derivative. Zbl 1110.45006
Plotnikov, A. V.; Tumbrukaki, A. V.
4
2005
Averaging of a boundary-value problem with variation of the type of boundary conditions in a thick two-level junction. Zbl 1150.35360
Mel’nyk, T. A.; Vaschuk, P. S.
3
2005
Existence and asymptotic behavior of positive solutions to neutral impulsive differential equations. Zbl 1114.34063
Dimitrova, M. B.; Donev, V. I.
3
2005
Solution of the problem on eigenvibrations of open shells of revolution under singular excitation. Zbl 1109.74023
Trotsenko, V. A.; Trotsenko, Yu. V.
3
2005
Soliton-like excitations in one-dimensional electrical transmission line. Zbl 1111.35083
Pelap, F. B.
2
2005
Numerical analytical method of investigation of periodic solutions to partial integro-differential equations with impulsive effect. Zbl 1109.35012
Tkach, A. B.
1
2005
Estimates of some functionals for open sets. Zbl 1107.30018
Bakhtin, A. K.
1
2005
Implicit difference methods for first order partial functional differential equations. Zbl 1110.65081
Kepczynska, A.
1
2005
Invariant sets of difference systems and their stability. Zbl 1109.39014
Tkachuk, A. M.
1
2005
Solvability of the Cauchy problem for linear integro-differential equations with transformed argument. Zbl 1109.45003
Samojlenko, A. M.; Dil’na, N. Z.; Ronto, A. M.
1
2005
The Darboux problem for differential equation containing fractional derivative. Zbl 1111.35146
Vityuk, A. N.; Golushkov, A. V.
1
2005
A theorem on perturbation of coisotropic invariant tori of locally Hamiltonian systems and its application. Zbl 1107.37050
Lovejkin, Yu. V.; Parasyuk, I. O.
1
2005
Structure of characteristic surfaces related with partial differential equations of first and higher order. Zbl 1111.35065
Prykarpatskaya, N. K.
1
2005
Existence of solutions to systems of fractional order partial differential equations. Zbl 1092.35500
Vityuk, A. N.; Golushkov, A. V.
41
2004
Minimality of nonautonomous dynamical systems. Zbl 1092.37011
Kolyada, S.; Snoha, Ľ.; Trofimchuk, S.
19
2004
Eigenvalue characterization of a system of difference equations. Zbl 1092.39001
Agarwal, R. P.; O’Regan, D.; Wong, P. J. Y.
9
2004
Properties of boundary states of a dynamical conflict system. Zbl 1090.93001
Bodnarchuk, M. V.; Koshmanenko, V. D.; Kharchenko, N. V.
7
2004
Absolute instability conditions for solutions of differential difference equations. Zbl 1101.34334
Slyusarchuk, V. Yu.
6
2004
Global stability of a nonlinear difference equation. Zbl 1092.39009
Nenya, O. I.; Tkachenko, V. I.; Trofimchuk, S. I.
4
2004
Asymptotic representations of solutions to \(n\)-ordinary differential equation with exponential nonlinearity. Zbl 1100.34011
Shinkarenko, V. N.
4
2004
Geometric analysis of a singular Cauchy problem. Zbl 1100.34008
Zernov, A. E.; Kuzina, Yu. V.
3
2004
Structure of a set of continuous solutions of systems of nonlinear functional difference equations. Zbl 1095.39001
Pelyukh, G. P.
3
2004
A modified projection-iterative method for systems of quasilinear differential equations with delay and restriction. Zbl 1100.34052
Luchka, A. Yu.; Feruk, V. A.
3
2004
Averaging technique for discrete systems and its application to control problems. Zbl 1095.39002
Plotnikov, V. A.; Plotnikova, L. I.; Yarovoj, A. T.
3
2004
Averaging of the Robin problem for a thick multilevel junction. Zbl 1150.35358
De Maio, U.; Mel’nyk, T. A.; Perugia, C.
3
2004
Parametrization of three-point nonlinear boundary value problems. Zbl 1102.34011
Ronto, A. N.; Ronto, M.; Schobak, N. M.
3
2004
Topological entropy of a dynamical system in the space of one-dimensional mappings. Zbl 1092.37009
Kolyada, S. F.
2
2004
Modelling of phase synchronization in systems of two and three coupled oscillators. Zbl 1102.34036
Vasylenko, A.; Maistrenko, Yu.; Hasler, M.
2
2004
Global solvability of a degenerate semilinear differential operator equation. Zbl 1101.34045
Rutkas, A. G.; Khudoshin, I. G.
2
2004
Some exact solvability conditions for the initial problem for a system of linear functional differential equations. Zbl 1100.34050
Ronto, A. N.
2
2004
Asymptotic properties of solutions of linear functional-differential equations with constant coefficients and linear transformed argument. Zbl 1100.34530
Bel’sky, D. V.
1
2004
Nonautonomous periodic boundary value problems in a particular critical case. Zbl 1102.34012
Boĭchuk, A. A.; Chuĭko, S. M.; Chuĭko, A. S.
1
2004
Invariant sets of impulsive systems and their stability. Zbl 1100.34507
Kenzhebaev, K. K.; Stanzhytsky, A. N.
1
2004
Methods of calculation of natural vibrations of a cylindrical shell with an attached solid. Zbl 1089.74572
Trotsenko, V. A.; Trotsenko, Yu. V.
1
2004
Oscillations of nonlinear hyperbolic differential impulsive equations. Zbl 1092.35004
Liu, Anping; Li, Xiao; He, Mengxing
1
2004
Projection-iterative method for systems of differential delay equations with constraints. Zbl 1083.34049
Luchka, A. Yu.; Feruk, V. A.
5
2003
Determination of the boundaries between the domains of stability and instability for Hill’s equation. Zbl 1086.34530
Grebenikov, E. A.; Prokopenya, A. N.
3
2003
Some symmetry properties of periodic solutions. Zbl 1083.34034
Ronto, A. N.; Ronto, N. I.
3
2003
Stability of a nonlinear pendulum. Zbl 1086.34531
Kengne, E.
3
2003
Numerical and analytical investigation of parametrized problems with nonlinear boundary conditions. Zbl 1083.34014
Ronto, M.; Shchobak, N.
3
2003
Positive definiteness criterion for a class of infinite quadratic forms. Zbl 1070.11014
Bondarenko, V. M.; Polishchuk, A. M.
2
2003
Volterra’s theory of elastic dislocations for a transversally isotropic homogeneous hollow cylinder. Zbl 1122.74423
Laserra, E.; Pecoraro, M.
2
2003
Oscillations in differential equations with state-dependent delays. Zbl 1086.34537
Niri, K.
2
2003
Some uniqueness results on controllability for functional semilinear differential equations in Fréchet spaces. Zbl 1087.34557
Arara, A.; Benchohra, M.; Ouahab, A.
2
2003
Existence and asymptotic behavior of solutions to the Cauchy problem \(x(x')^\gamma = f(t,x,x')\), \(x(0)=0\). Zbl 1086.34504
Zernov, A. E.; Kuzina, Yu. V.
1
2003
Optimal existence theory for single and multiple positive periodic solutions to functional differential equations. Zbl 1083.34050
Jiang, D.; O’Regan, D.; Agarwal, R. P.
1
2003
Modified Ginzburg-Landau equation and Benjamin-Feir instability. Zbl 1073.35030
Kengne, E.
1
2003
A nonlinear model of age-dependent population dynamics. Zbl 1082.35158
Matsenko, V. G.
1
2003
Solution of the boundary value problems in the dynamics of a fluid in horizontal cylindrical cavities with partitions. Zbl 1122.76317
Trotsenko, V. A.
1
2003
Iteration method for systems of nonlinear differential delay equations with constraints. Zbl 1083.34048
Feruk, V. A.
1
2003
A point-countable nonlinear boundary value problem on semiaxis for ordinary differential equations in a space of bounded numerical sequences. Zbl 1086.34535
Teplinsky, Yu. V.; Nedokis, V. A.
1
2003
On an antiperiodic type boundary-value problem for first-order nonlinear functional-differential equations of non-Volterra’s type. Zbl 1086.34536
Hakl, R.; Lomtatidze, A.; Šremr, J.
1
2003
Asymptotic properties of global solutions for systems of functional differential neutral type equations with nonlinear deviations of argument. Zbl 1098.34576
Pelyukh, G. P.; Olijnychenko, O. P.
10
2002
Fixed point theory for weakly sequentially upper semicontinuous maps with applications to differential inclusions. Zbl 1098.34514
Agarwal, R. P.; O’Regan, D.
7
2002
Structure of sets of solutions to a class of systems of neutral type nonlinear functional differential equations. Zbl 1098.34557
Pelyukh, G. P.
6
2002
A periodic type boundary-value problem for first order linear functional differential equations. Zbl 1098.34560
Hakl, R.; Lomtatidze, A.; Sremr, J.
4
2002
Envelope modulation instability in nonlinear dissipative transmission line. Zbl 1098.82643
Kengne, E.
3
2002
Iteration method for integral equations with constraints. Zbl 1098.45505
Luchka, A. Yu.; Voznyuk, O. M.
3
2002
Power asymptotics solutions to differential equations with exponential nonlinearity. Zbl 1098.34545
Evtukhov, V. M.; Shynkarenko, V. N.
3
2002
Projection iterative method for differential equations with restrictions. Zbl 1098.34502
Luchka, A. Yu.
3
2002
Preserving of one-side invariance in \(R^n\) with respect to systems of ordinary differential equations. Zbl 1098.93512
Yanchuk, S. V.
2
2002
Density of a set of unsolvable Cauchy problems in the set of all Cauchy problems in the case of infinite-dimensional Banach space. Zbl 1098.34501
Slyusarchuk, V. E.
1
2002
Existence and asymptotics of periodic solutions to degenerate singularly perturbed system of differential equations in the case of multiple elementary divisors. Zbl 1098.34549
Yakovets’, V. P.; Akimenko, A. M.
1
2002
Error estimations of the averaging method in impulsive boundary value problems with parameters. Zbl 1098.34511
Petryshyn, R. I.; Lakusta, L. M.
1
2002
Investigation of a semi-explicit system of differential equations in the case of variable matrix bundle. Zbl 1098.34582
Samkova, G. E.; Sharaj, N. V.
1
2002
Competitive extinction in Lotka–Volterra systems with impulses. Zbl 1098.34512
Struk, O. O.; Tkachenko, V. I.
1
2002
\(C^\rho\)-smoothness of an invariant torus of a countable system of difference equations determined on an \(m\)-dimensional torus. Zbl 1098.39502
Teplins’ky, Yu. V.; Marchuk, N. A.
1
2002
Two functional boundary-value problems with singularities in phase variables. Zbl 1098.34522
Stanek, S.
1
2002
Construction of asymptotic solutions for systems of differential equations with argument deviation and degenerate matrix at the derivatives. Zbl 1098.34572
Samusenko, P. F.
1
2002
Boundary value problems for linear systems. Zbl 1098.34504
Starun, I. I.
1
2002
Asymptotic properties of solutions to systems of linear functional-differential equations. Zbl 1007.34060
Olijnychenko, O. P.
9
2000
Lie-algebraic structure of Lax type integrable nonlocal differential-difference equations. Zbl 0996.34050
Prykarpatsky, A. K.; Hentosh, O. E.; Samoilenko, V. Hr.
4
2000
Averaging of equations of controlled motion with multivalued quality criterion. Zbl 1001.49004
Plotnikov, A. V.
3
2000
On structure of invariant measure for a class of discrete dynamical system. Zbl 1074.37501
Prykarpatsky, A. K.
3
2000
Projection iteration methods for integral equations with weak nonlinearity and additional conditions. Zbl 1001.45006
Kovtun, O. I.
2
2000
Nonlinear dynamics of a rotor with a vibrating axis, and sensitive dependence on the initial conditions of the forced vibration of a heavy rotor. Zbl 1056.70511
Hedrih, K.
2
2000
On nonexistence of invariant submanifolds for differential systems with impulses. Zbl 1007.34009
Fečkan, M.
1
2000
Conditions of consistency of a problem with the constraints for singular integral equations. Zbl 1001.45005
Polishchuk, O. B.
1
2000
Classification of linear operators with minimal polynomial \( f(t) = (t-a)(t-b)\), \( a\neq b\), acting in filtered vector space. Zbl 0990.47030
Bondarenko, V. M.
1
2000
Finite-dimensional reductions of generalized dynamical Burgers system and their intensities. Zbl 0987.35136
Prykarpatsky, Ya. A.; Prytula, M. M.; Hentosh, O. E.
1
2000
Solutions to weakly nonlinear differential equations bounded on the whole axis. Zbl 1035.34021
Boĭchuk, A. A.
6
1999
On smoothness of generalized quasiperiodic solutions of Lagrangian systems on Riemannian manifolds of nonpositive curvature. Zbl 1006.37036
Zakharin, S. F.; Parasyuk, I. O.
5
1999
On free vibrations of a thick periodic junction with concentrated masses on the fine rods. Zbl 0953.35016
Mel’nyk, T. A.
3
1999
Necessary and sufficient existence and uniqueness conditions for bounded solutions to nonlinear differential equations. Zbl 0956.34008
Sljusarchuk, V. E.
3
1999
On invariant sets of differential equations with impulses. Zbl 0956.34035
Tkachenko, V. I.
2
1999
Approximation of systems of differential difference equations by systems of ordinary differential equations. Zbl 1035.34070
Piddubna, L. A.; Cherevko, I. M.
2
1999
To the theory of geodesic lines equation. Zbl 1058.53507
Lukashevich, N. A.; Chichurin, A. V.
1
1999
Boundary value problem for systems of wave equations. Zbl 1011.35124
Marinets, V. V.; Rego, V. L.
1
1999
Pseudodifferential turning point in theory of singular perturbations. Zbl 1035.34060
Bobochko, V. N.; Bolilyj, V. A.
1
1999
The case of conditional stability for singularly perturbed Noetherian boundary value problem. Zbl 1036.34063
Karandzhulov, L. I.
1
1999
Existence and uniqueness of an analytical solution to a nonlinear functional-differential equation of neutral type. Zbl 1036.34073
Samoilenko, A. M.; Peljukh, A. G.
1
1999
Separately continuous mappings of many variables with the values in \(\sigma\)-metrizable spaces. Zbl 1006.54017
Masljuchenko, V. K.
1
1999
On a relationship between memory effects by Maxwell-Boltzmann and Kelvin-Voigt in linear viscoelastic theory. Zbl 1058.74519
Matarazzo, G.
1
1999
Symmetric classification of one-dimensional Fokker-Planck equation with arbitrary coefficients of drift and diffusion. Zbl 1008.60079
Spichak, S. V.; Stognij, V. I.
1
1999
Asymptotic methods in the theory of differential equations with multivalued right-hand side. Zbl 0939.34015
Plotnikov, V. A.
9
1998
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Cited by 366 Authors

30 Benchohra, Mouffak
26 Abbas, Said
13 Stević, Stevo
7 Agarwal, Ravi P.
7 Koshmanenko, Volodymyr Dmytrovych
7 Prykarpatsky, Anatoliy Karolevych
6 O’Regan, Donal
6 Plotnikov, Andreĭ Viktorovich
5 Boĭchuk, Oleksandr Andriĭovych
5 Chuĭko, Sergeĭ Mikhaĭlovich
5 Kengne, Emmanuel
5 Komleva, Tatyana A.
5 Luchka, A. Yu
5 Ronto, Andrei
5 Rontó, Miklós
5 Slyusarchuk, Vasyl Yukhimovich
5 Wong, Patricia J. Y.
4 Kichmarenko, Olga D.
4 Mel’nyk, Taras A.
4 Parasyuk, Igor O.
4 Šmarda, Zdeněk
4 Targonskiĭ, Andrey L.
3 Blackmore, Denis L.
3 Cheng, Wenchiao
3 Darwish, Mohamed Abdalla
3 Diblík, Josef
3 Evtukhov, Vyacheslav Mikhaĭlovich
3 Fabrizio, Mauro
3 Feruk, V. A.
3 Hakl, Robert
3 Laserra, Ettore
3 Pokutnyĭ, Oleksandr Olekseevich
3 Samoĭlenko, Anatoliĭ Mykhaĭlovych
3 Samoilenko, Igor V.
3 Sharma, Puneet
3 Skripnik, Natalia Viktorovna
3 Vel’hach, A. V.
2 Balibrea, Francisco
2 Banaś, Józef
2 Bochicchio, Ivana
2 Bohai, N. A.
2 Caraballo Garrido, Tomás
2 Chechkin, Gregory Aleksandrovich
2 Cherevko, Igor M.
2 Durante, Tiziana
2 Dvirny, Aleksandr Ivanovich
2 Gavrilyuk, Ivan P.
2 Heris, Amel
2 Kachurivsky, R. I.
2 Kapustyan, Oleksiy V.
2 Karataeva, T. V.
2 Kuzina, Yuliya Vasil’evna
2 Langerová, Martina
2 Liu, Wuming
2 Mahmudov, Elimhan Nadir
2 Maistrenko, Yuri L.
2 Melnychuk, V. F.
2 Mosekilde, Erik
2 Nesterenko, Olga B.
2 N’Guérékata, Gaston Mandata
2 Nieto Roig, Juan Jose
2 Ogulenko, A. P.
2 Ordokhani, Yadollah
2 Ouahab, Abdelghani
2 Pelyukh, Grygor P.
2 Petrenko, S. M.
2 Prykarpatsky, Yarema Anatoliyovych
2 Samoĭlenko, Valeriĭ Grygorovych
2 Samusenko, Petro F.
2 Shchobak, Nataliya N.
2 Shi, Yuming
2 Škoríková, Jaroslava
2 Slimani, Boualem Attou
2 Slyn’ko, Vitalii Ivanovich
2 Šremr, Jiří
2 Targonskaya, Irina Igor’evna
2 Targonskii, Andrii Leonidovych
2 Teplinsky, Yuriy V.
2 Timokha, Alexander N.
2 Tkachenko, Victor Ivanovich
2 Trotsenko, Yu. V.
2 Trotsenko, Yuriy
2 Trujillo, Juan J.
2 Valero, José
2 Vashchuk, P. S.
2 Yanchuk, Sergiĭ Volodymyrovych
2 Zafer, Ağacık
2 Zernov, Alexander E.
1 Aiyappan, Srinivasan
1 Akça, Haydar
1 Al-Zahrani, Eada Ahmed
1 Albarakati, Wafaa A.
1 Al-saedi, Ahmed Eid Salem
1 Amirat, Youcef Aït
1 Assanova, Anar Turmaganbetkyzy
1 Bakhtin, Olexandr Konstantinovich
1 Bakirova, Elmira A.
1 Băleanu, Dumitru I.
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1 Banakh, Taras Onufrievich
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Cited in 95 Journals

47 Nonlinear Oscillations
46 Journal of Mathematical Sciences (New York)
22 Applied Mathematics and Computation
16 Ukrainian Mathematical Journal
9 Journal of Mathematical Analysis and Applications
9 Advances in Difference Equations
7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
7 Abstract and Applied Analysis
5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
4 Chaos, Solitons and Fractals
4 Journal of Difference Equations and Applications
3 Computers & Mathematics with Applications
3 Differential Equations
3 Boundary Value Problems
3 Nonlinear Analysis. Hybrid Systems
2 Journal of Engineering Mathematics
2 Journal of Mathematical Physics
2 Mathematical Notes
2 Rocky Mountain Journal of Mathematics
2 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
2 Demonstratio Mathematica
2 Results in Mathematics
2 Transactions of the American Mathematical Society
2 Topology and its Applications
2 Zeitschrift für Analysis und ihre Anwendungen
2 Applied Mathematics Letters
2 Journal of Integral Equations and Applications
2 Computational and Applied Mathematics
2 Random Operators and Stochastic Equations
2 Mathematical Problems in Engineering
2 Fractional Calculus & Applied Analysis
2 Journal of Interdisciplinary Mathematics
2 Communications in Nonlinear Science and Numerical Simulation
2 Proceedings of the International Geometry Center
1 International Journal of Modern Physics B
1 Applicable Analysis
1 Archive for Rational Mechanics and Analysis
1 International Journal of Engineering Science
1 International Journal of Solids and Structures
1 Journal of Applied Mathematics and Mechanics
1 Mathematical Methods in the Applied Sciences
1 Periodica Mathematica Hungarica
1 Reports on Mathematical Physics
1 Reviews in Mathematical Physics
1 Commentationes Mathematicae Universitatis Carolinae
1 Journal of Computational and Applied Mathematics
1 Journal of Differential Equations
1 Journal of Economic Theory
1 Journal of Optimization Theory and Applications
1 Mathematics and Computers in Simulation
1 Bulletin of the Korean Mathematical Society
1 Acta Applicandae Mathematicae
1 Bulletin of the Iranian Mathematical Society
1 Optimization
1 Numerical Methods for Partial Differential Equations
1 Mathematical and Computer Modelling
1 Journal of Applied Mathematics and Stochastic Analysis
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Journal of Dynamics and Differential Equations
1 Continuum Mechanics and Thermodynamics
1 Russian Mathematics
1 Journal of Computer and Systems Sciences International
1 Calculus of Variations and Partial Differential Equations
1 Topology Proceedings
1 St. Petersburg Mathematical Journal
1 Functional Differential Equations
1 Differential Equations and Dynamical Systems
1 Journal of Inequalities and Applications
1 Journal of Biological Systems
1 Lobachevskii Journal of Mathematics
1 Qualitative Theory of Dynamical Systems
1 Nonlinear Analysis. Real World Applications
1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
1 Dynamical Systems
1 Discrete and Continuous Dynamical Systems. Series B
1 Journal of Applied Mathematics
1 Journal of Applied Mathematics and Computing
1 Central European Journal of Mathematics
1 Mediterranean Journal of Mathematics
1 African Diaspora Journal of Mathematics
1 Complex Variables and Elliptic Equations
1 Communications in Mathematical Analysis
1 The European Physical Journal B. Condensed Matter and Complex Systems
1 Frontiers of Mathematics in China
1 Analele Universității de Vest din Timișoara. Seria Matematică-Informatică
1 Asian-European Journal of Mathematics
1 International Journal of Differential Equations
1 Set-Valued and Variational Analysis
1 Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
1 Afrika Matematika
1 Arabian Journal of Mathematics
1 Journal of Computational Dynamics
1 Carpathian Mathematical Publications
1 Nonautonomous Dynamical Systems
1 Applied Mathematics and Nonlinear Sciences
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Cited in 37 Fields

126 Ordinary differential equations (34-XX)
52 Partial differential equations (35-XX)
44 Dynamical systems and ergodic theory (37-XX)
31 Integral equations (45-XX)
29 Difference and functional equations (39-XX)
22 Real functions (26-XX)
17 Operator theory (47-XX)
14 Numerical analysis (65-XX)
11 Mechanics of deformable solids (74-XX)
10 Functions of a complex variable (30-XX)
9 General topology (54-XX)
9 Biology and other natural sciences (92-XX)
9 Systems theory; control (93-XX)
7 Calculus of variations and optimal control; optimization (49-XX)
7 Mechanics of particles and systems (70-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Global analysis, analysis on manifolds (58-XX)
4 Information and communication theory, circuits (94-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Optics, electromagnetic theory (78-XX)
2 History and biography (01-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Number theory (11-XX)
2 Associative rings and algebras (16-XX)
2 Measure and integration (28-XX)
2 Potential theory (31-XX)
2 Fluid mechanics (76-XX)
1 Mathematical logic and foundations (03-XX)
1 Field theory and polynomials (12-XX)
1 Special functions (33-XX)
1 Functional analysis (46-XX)
1 Differential geometry (53-XX)
1 Probability theory and stochastic processes (60-XX)
1 Computer science (68-XX)
1 Quantum theory (81-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Operations research, mathematical programming (90-XX)

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