# zbMATH — the first resource for mathematics

## Nonlinear Oscillations

 Short Title: Nonlinear Oscil., N.Y. Publisher: Springer, New York, NY ISSN: 1536-0059/e Online: http://link.springer.com/journal/volumesAndIssues/11072 Original: Neliniĭni Kolyvannya Successor: Journal of Mathematical Sciences (New York) Comments: No longer indexed; This journal is published electronic only. Merged into “J. Math. Sci., New York” as of 2012.
 Documents Indexed: 254 Publications (2006–2012) References Indexed: 252 Publications with 3,053 References.
all top 5

#### Latest Issues

 14, No. 4 (2012) 14, No. 3 (2012) 14, No. 2 (2011) 14, No. 1 (2011) 13, No. 4 (2011) 13, No. 3 (2011) 13, No. 2 (2010) 13, No. 1 (2010) 12, No. 4 (2009) 12, No. 3 (2009) 12, No. 2 (2009) 12, No. 1 (2009) 11, No. 4 (2008) 11, No. 3 (2008) 11, No. 2 (2008) 11, No. 1 (2008) 10, No. 4 (2007) 10, No. 3 (2007) 10, No. 2 (2007) 10, No. 1 (2007) 9, No. 4 (2006) 9, No. 3 (2006) 9, No. 2 (2006) 9, No. 1 (2006)
all top 5

#### Authors

 11 Boĭchuk, Oleksandr Andriĭovych 9 Chuĭko, Sergeĭ Mikhaĭlovich 7 Luchka, A. Yu 6 Pelyukh, H. P. 6 Samoĭlenko, Anatoliĭ Mykhaĭlovych 6 Skripnik, Natalia Viktorovna 6 Tkachenko, Victor Ivanovich 5 Slyusarchuk, Vasyl Yukhimovich 5 Yakovets, V. P. 4 Bel’skiĭ, Denis V. 4 Horodnii, M. F. 4 Kasyanov, Pavlo O. 4 Martynyuk, Anatoliĭ Andriĭovych 4 Petryshyn, R. I. 4 Plotnikov, Andreĭ Viktorovich 4 Slyn’ko, Vitalii Ivanovich 4 Teplinsky, Yuriy V. 3 Bohai, N. A. 3 Chaĭkovs’kyĭ, Andriĭ Volodymyrovych 3 Feruk, V. A. 3 Khusainov, Denis Ya. 3 Klyuchnyk, I. H. 3 Komleva, Tatyana A. 3 Mel’nyk, Taras A. 3 Myslo, Yu. M. 3 Nenya, O. I. 3 Nesterenko, Olga B. 3 Panasenko, Evgeniy V. 3 Parasyuk, Igor O. 3 Pasyuk, K. V. 3 Perestyuk, Mykola Oleksiĭovych 3 Pokutnyĭ, Oleksandr Olekseevich 3 Prykarpatsky, Anatoliy Karolevych 3 Samoĭlenko, Valeriĭ Grygorovych 3 Sivak, Olena A. 3 Teplins’kyi, O. Yu. 2 Agarwal, Ravi P. 2 Aliluiko, A. M. 2 Amendola, Giovambattista 2 Bakhtin, Olexandr Konstantinovich 2 Benchohra, Mouffak 2 Bihun, Ya. I. 2 Bogolyubov, Nikolaĭ Nikolaevich jun. 2 Boichuk, I. A. 2 Boiko, M. Ya. 2 Chechel’, A. A. 2 Cherevko, Igor M. 2 Chichurin, Alexander V. 2 Danylyuk, Ivan Mykhaĭlovych 2 Denysenko, Natalia L. 2 Denysenko, Oleksandr M. 2 Dhage, Bapurao C. 2 Diblík, Josef 2 Dvirny, Aleksandr Ivanovich 2 Elhadj, Zeraoulia 2 Elshour, Mousa Jaber Abu 2 Holovchenko, O. V. 2 Kachurivsky, R. I. 2 Kengne, Emmanuel 2 Kichmarenko, Olga D. 2 Kocherha, O. I. 2 Korol’, Igor I. 2 Koshmanenko, Volodymyr Dmytrovych 2 Koz’ma, A. A. 2 Kulinich, Grygoriĭ L. 2 Lukovsky, Ivan Oleksandrovych 2 Lykova, Olga B. 2 Maksymenko, Sergiĭ Ivanovych 2 Melnik, Valery S. 2 Opluštil, Zdeněk 2 Plotnikov, Viktor A. 2 Prykarpatsky, Yarema Anatoliyovych 2 Ronto, Andrei 2 Růžičková, Miroslava 2 Samoilenko, Igor V. 2 Shchetinina, Elena Konstantinovna 2 Shehda, L. M. 2 Sopronyuk, Tetyana M. 2 Sprott, Julien Clinton 2 Šremr, Jiří 2 Stavroulakis, Ioannis P. 2 Sukretna, Anna V. 2 Trotsenko, V. A. 2 Tunç, Cemil 2 Vaillancourt, Rémi 2 Vel’hach, A. V. 2 Zadoyanchuk, N. V. 2 Zhuravlëv, Viktor Filippovich 1 Aguerrea, Maitere 1 Babenko, Sergei V. 1 Bab’yuk, O. K. 1 Baloha, S. I. 1 Barnyak, M. Ya. 1 Baštincová, A. 1 Bazylyak, H. R. 1 Belan, E. P. 1 Belarbi, Abdelkader 1 Belozerova, Maria A. 1 Berezans’kyĭ, Yuriĭ Makarovych 1 Blackmore, Denis L. ...and 180 more Authors
all top 5

#### Fields

 151 Ordinary differential equations (34-XX) 38 Partial differential equations (35-XX) 28 Dynamical systems and ergodic theory (37-XX) 21 Difference and functional equations (39-XX) 21 Operator theory (47-XX) 9 Numerical analysis (65-XX) 9 Mechanics of particles and systems (70-XX) 9 Systems theory; control (93-XX) 8 Integral equations (45-XX) 7 Probability theory and stochastic processes (60-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Mechanics of deformable solids (74-XX) 4 Fluid mechanics (76-XX) 4 Optics, electromagnetic theory (78-XX) 4 Biology and other natural sciences (92-XX) 3 History and biography (01-XX) 3 Real functions (26-XX) 3 Approximations and expansions (41-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) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH Open

134 Publications have been cited 383 times in 321 Documents Cited by Year
Representation of a solution of the Cauchy problem for an oscillating system with pure delay. Zbl 1276.34055
Khusainov, D. Ya.; Diblík, J.; Růžičková, M.; Lukáčová, J.
2008
Solution of a heat equation with delay. Zbl 1277.35193
Khusainov, D. Ya.; Ivanov, A. F.; Kovarzh, I. V.
2009
Oscillation criteria for a second-order quasilinear neutral functional dynamic equation on time scales. Zbl 1334.34196
Saker, S. H.
2011
Asymptotic analysis of boundary-value problems in thin perforated domains with rapidly varying thickness. Zbl 1334.74057
Mel’nyk, T. A.; Popov, A. V.
2010
On an approximate solution of boundary-value problems by the least squares method. Zbl 1277.65055
Chuiko, S. M.
2008
Asymptotic representations of solutions of nonautonomous second-order differential equations with nonlinearities close to power-type nonlinearities. Zbl 1277.34061
Belozerova, M. A.
2009
Numerical-analytic method for finding solutions of systems with distributed parameters and integral condition. Zbl 1277.35244
Tkach, B. P.; Urmancheva, L. B.
2009
Autonomous Noetherian boundary-value problem in the critical case. Zbl 1277.34078
Chuiko, S. M.; Boichuk, I. A.
2009
On approximate solution of periodic boundary-value problems with delay by the least-squares method in the critical case. Zbl 1334.34146
Chuiko, S. M.; Chuiko, A. S.
2012
Asymptotic nonlinear multimodal modeling of liquid sloshing in an upright circular cylindrical tank. I: Modal equations. Zbl 1334.76011
Lukovsky, I.; Ovchynnykov, D.; Timokha, A.
2012
Bounded solutions of linear differential equations in a Banach space. Zbl 1262.34037
Boichuk, A. A.; Pokutnii, A. A.
2006
Averaging of controlled equations with Hukuhara derivative. Zbl 1262.34074
Plotnikov, V. A.; Kichmarenko, O. D.
2006
Degenerate Fredholm boundary-value problems. Zbl 1268.34050
Boichuk, O. A.; Shehda, L. M.
2007
Boundary-value problems for differential equations in a Banach space. Zbl 1277.34084
Boichuk, O. A.; Panasenko, E. V.
2009
On the approximate solution of autonomous boundary-value problems by the least-squares method. Zbl 1277.65056
Chuiko, S. M.; Starkova, O. V.
2009
Domain of convergence of an iterative procedure for an autonomous boundary-value problem. Zbl 1262.34016
Chuiko, S. M.
2006
Studying the stability of equilibrium solutions in a planar circular restricted four-body problem. Zbl 1268.70012
Grebenikov, E. A.; Gadomski, L.; Prokopenya, A. N.
2007
Projection method for the solution of integro-differential equations with restrictions and control. Zbl 1275.65095
Luchka, A. Yu.; Nesterenko, O. B.
2008
Homogenization of the Signorini boundary-value problem in a thick plane junction. Zbl 1277.35035
Kazmerchuk, Yu. A.; Mel’nyk, T. A.
2009
Construction of solutions of integro-differential equations with restrictions and control by projection-iterative method. Zbl 1277.45012
Luchka, A. Yu.; Nesterenko, O. B.
2009
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.
2009
Averaging in fuzzy controlled systems. Zbl 1334.93107
Komleva, T. A.; Plotnikova, L. I.; Plotnikov, A. V.; Skripnik, N. V.
2012
Differential inclusions with Hukuhara derivative. Zbl 1268.34045
Komleva, T. A.; Plotnikov, A. V.
2007
Approximate bounded synthesis for a weakly nonlinear boundary-value problem. Zbl 1277.49006
Kapustyan, O. V.; Kapustyan, O. A.; Sukretna, A. V.
2009
Investigation of the structure of the set of continuous solutions of systems of linear functional difference equations. Zbl 1277.39034
Pelyukh, H. P.; Sivak, O. A.
2009
Symmetries of center singularities of plane vector fields. Zbl 1334.37016
Maksymenko, S. I.
2010
Invariant manifolds of one class of systems of impulsive differential equations. Zbl 1334.34040
Perestyuk, M. O.; Feketa, P. V.
2010
Boundary-value problems for differential inclusions with Riemann-Liouville fractional derivative. Zbl 1334.34046
Benchohra, M.; Djebali, S.; Hamani, S.
2011
Exponentially dichotomous difference equations with non-Lipschitz perturbations. Zbl 1334.39035
Slyusarchuk, V. Yu.
2012
Periodic solutions of nonlinear evolution equations with $$W_{\lambda _0 }$$-pseudomonotone maps. Zbl 1262.35212
Kas’yanov, P. O.; Mel’nik, V. S.; Toscano, S.
2006
Bounded solutions of weakly nonlinear differential equations in a Banach space. Zbl 1276.34051
Boichuk, O. A.; Pokutnyi, O. O.
2008
Asymptotics of solutions of nonautonomous second-order ordinary differential equations close to linear equations. Zbl 1276.34041
Abu-Elshour, Mousa Jaber
2008
On a class of differential equations of fractional order. Zbl 1277.26013
Vityuk, A. N.; Mikhailenko, A. V.
2008
On positive periodic solutions of nonlinear impulsive functional differential equations. Zbl 1277.34100
Kocherha, O. I.; Nenya, O. I.; Tkachenko, V. I.
2008
Asymptotic properties of solutions of systems of nonlinear functional differential equations of neutral type. Zbl 1277.34107
Vel’hach, A. V.
2009
Applications of perturbations on accretive mappings to nonlinear elliptic systems involving $$(p, q)$$-Laplacian. Zbl 1277.35167
Wei, Li; Agarwal, R. P.; Wong, P. J. Y.
2009
Method of local linear approximation in the theory of bounded solutions of nonlinear difference equations. Zbl 1277.39026
Slyusarchuk, V. Yu.
2009
Nonpositive solutions of a functional differential inequality. Zbl 1277.34112
Lomtatidze, A.; Opluštil, Z.; Šremr, J.
2009
Symmetries of degenerate center singularities of plane vector fields. Zbl 1277.37036
Maksymenko, S. I.
2009
On the structure of the set of continuous solutions of functional difference equations with linearly transformed argument. Zbl 1334.39050
Pelyukh, H. P.; Sivak, O. A.
2010
Global stability of solutions of nonstationary monotone differential equations with impulsive action in the pseudolinear form. Zbl 1334.34137
Dvirnyi, A. I.; Slyn’ko, V. I.
2011
Almost periodic solutions of Mackey-Glass equations with pulse action. Zbl 1334.34153
Myslo, Yu. M.; Tkachenko, V. I.
2012
Hamiltonian finite-dimensional oscillator-type reductions of Lax-integrable superconformal hierarchies. Zbl 1262.35185
Hentosh, O. E.
2006
Even systems of functional differential equations with restrictions and methods for their solution. Zbl 1268.34130
Luchka, A. Yu.
2007
Faedo-Galerkin method for nonlinear second-order evolution equations with Volterra operators. Zbl 1268.34066
Zadoyanchuk, N. V.; Kas’yanov, P. O.
2007
On the structure of the set of continuously differentiable solutions of one boundary-value problem for a system of functional differential equations of neutral type. Zbl 1268.34162
Pelyukh, H. P.; Vel’hach, A. V.
2007
Closedness and normal solvability of an operator generated by a degenerate linear differential equation with variable coefficients. Zbl 1268.34107
Zhuk, S. M.
2007
Bifurcation of solutions of an impulsive boundary-value problem. Zbl 1276.34022
Boichuk, A. A.; Chuiko, S. M.
2008
Averaging of fuzzy differential equations with delay. Zbl 1277.34004
Kichmarenko, O. D.; Skripnik, N. V.
2008
New solvability conditions for a nonlocal boundary-value problem for nonlinear functional differential equations. Zbl 1277.34091
Opluštil, Z.
2008
On Lyapunov stability of impulsive Takagi-Sugeno fuzzy systems. Zbl 1277.93059
Denisenko, V. S.; Martynyuk, A. A.; Slyn’ko, V. I.
2008
Existence of an invariant torus for a class of systems of differential equations. Zbl 1277.34077
Perestyuk, M. O.; Baloha, S. I.
2008
Necessary conditions for the existence of positive solutions of second-order linear difference equations and sufficient conditions for the oscillation of solutions. Zbl 1277.39023
2009
On the asymptotic integration of a linear system of differential equations with a small parameter in the coefficients of some derivatives. Zbl 1277.34082
Samoilenko, A. M.; Klyuchnyk, I. H.
2009
Transversal oscillations of a fluid in a long cylindrical container with membrane or elastic plate on the free surface. Zbl 1277.76008
Trotsenko, V. A.; Bogun, R. I.
2009
Continuous solutions of nonlinear functional difference equations and their properties. Zbl 1277.39016
Pelyukh, H. P.; Sivak, O. A.
2009
On the minimal speed of traveling waves for a nonlocal delayed reaction-diffusion equation. Zbl 1334.35114
Aguerrea, M.; Valenzuela, G.
2010
Nonlinear Noetherian boundary-value problems in the critical case. Zbl 1334.34051
Chuiko, S. M.; Boichuk, I. A.
2010
Averaging method in problems of control over periodic systems. Zbl 1334.49072
Dobrodzii, T. V.
2010
Chaotifying 2-D piecewise-linear maps via a piecewise-linear controller function. Zbl 1334.37102
2011
On $$n$$th-order nonlinear ordinary random differential equations. Zbl 1334.60116
Dhage, B. C.
2011
Periodic and asymptotically periodic solutions of systems of differential-difference equations of neutral type. Zbl 1334.34150
Kachurivs’kyi, R. I.; Pelyukh, H. P.
2011
Model of a dynamical system of a conflict triad. Zbl 1336.92092
Koshmanenko, V. D.; Samoilenko, I. V.
2011
Stability and stabilization of the family of pseudolinear differential systems. Zbl 1341.34066
Mazko, A. G.; Shram, V. V.
2011
On the parametrization of boundary-value problems with two-point nonlinear boundary conditions. Zbl 1334.34053
Ronto, M. I.; Marynets’, K. V.
2012
Averaging of fuzzy differential equations on a finite interval. Zbl 1334.34009
Plotnikov, A. V.; Komleva, T. A.
2012
Existence of positive solutions of systems of Volterra nonlinear difference equations. Zbl 1262.39008
Zhu, Jiang; Liu, Xiaolan
2006
Linear control systems with fuzzy parameter. Zbl 1262.93009
Molchanyuk, I. V.; Plotnikov, A. V.
2006
Bifurcations of rotating structures in a parabolic functional differential equation. Zbl 1262.35122
Belan, E. P.; Lykova, O. B.
2006
Approximation of a bundle of solutions of linear differential inclusions. Zbl 1262.34015
Plotnikova, N. V.
2006
Asymptotic representations of one class of solutions of essentially nonlinear differential equations of the second order. Zbl 1262.34063
Koz’ma, A. A.
2006
Conditions for the unique solvability of the initial-value problem for linear second-order differential equations with argument deviations. Zbl 1262.34078
Ronto, A. M.; Dil’na, N. Z.
2006
A version of the projection-iterative method for systems of linear differential equations with delay of neutral type and restrictions. Zbl 1262.34085
Feruk, V. A.
2006
Generalized Green operator for an impulsive boundary-value problem with switchings. Zbl 1268.34053
Boichuk, A. A.; Chuiko, S. M.
2007
Continuous solutions of systems of nonlinear difference equations with continuous argument and their properties. Zbl 1268.39001
Bohai, N. A.
2007
On approximation of systems of differential-difference equations of neutral type by systems of ordinary differential equations. Zbl 1268.34161
Matvii, O. V.; Cherevko, I. M.
2007
Averaging of impulsive differential inclusions with Hukuhara derivative. Zbl 1268.34039
Skripnik, N. V.
2007
On the orders of the best approximations of integrals of functions by integrals of rank $$\sigma$$. Zbl 1268.41021
Stepanets, A. I.; Shidlich, A. L.
2007
Singular integral inequalities with several nonlinearities and integral equations with singular kernels. Zbl 1275.45002
Medved’, M.
2008
Implicit difference methods for parabolic functional differential problems of the Neumann type. Zbl 1277.65071
Kropielnicka, K.
2008
On weak critical posets with respect to the positive definiteness of a quadratic Tits form. Zbl 1281.16025
Polishchuk, A. M.
2008
On the existence of solutions and averaging of multipoint boundary-value problems for multifrequency systems with linearly transformed argument. Zbl 1277.34021
Bihun, Ya. I.
2008
Second-order nonlinear differential equations with an infinite set of periodic solutions. Zbl 1277.34048
2008
Averaging method in some problems of optimal control. Zbl 1277.49034
Nosenko, T. V.; Stanzhyts’kyi, O. M.
2008
Averaging of impulsive fuzzy differential equations. Zbl 1277.34054
Skripnik, N. V.
2008
Instability of solutions for certain nonlinear vector differential equations of fourth order. Zbl 1277.34074
Tunç, C.
2009
Asymptotics of the trajectory of an interval that contains the preimage of a periodic point. Zbl 1277.37065
Fedorenko, V. V.
2009
Conditions for bifurcations of solutions of degenerate boundary-value problems. Zbl 1277.34042
Boichuk, O. A.; Shehda, L. M.
2009
Periodic solutions of systems of functional differential equations with linear deviations of argument and their properties. Zbl 1277.34099
Denysenko, N. L.
2009
Solution of linear degenerate systems of differential equations. Zbl 1277.34012
Chechel’, A. A.
2009
Multipoint problem for higher-order parabolic equations in a parallelepiped. Zbl 1277.35199
Ptashnyk, B. I.; Tymkiv, I. R.
2009
On the behavior of solutions of systems of linear functional differential equations with constant coefficients and linearly transformed argument in the neighborhood of a singular point. Zbl 1277.34092
Bel’skii, D. V.
2009
On the permanence of periodic predator-prey systems with stage structure and pulse action. Zbl 1277.92029
Myslo, Yu. M.; Tkachenko, V. I.
2009
Sufficient conditions for the oscillation of solutions of first-order neutral delay impulsive differential equations with constant coefficients. Zbl 1334.34175
Dimitrova, M. B.; Donev, V. I.
2010
Approximation of Poisson integrals by repeated de la Vallée Poussin sums. Zbl 1334.41042
Rovenskaya, O. G.; Novikov, O. A.
2010
On the asymptotic integration of a singularly perturbed system of linear differential equations with deviating argument. Zbl 1334.34167
Klyuchnyk, I. H.; Zavizion, H. V.
2010
On the construction of asymptotic solutions of two-point boundary-value problems for degenerate singularly perturbed systems of differential equations. Zbl 1334.34055
Yakovets’, V. P.; Vira, M. B.
2010
On the asymptotic stability of a neural network on a time scale. Zbl 1334.34195
Luk’yanova, T. A.; Martynyuk, A. A.
2011
Construction of approximate solutions of systems of differential equations with parameters and restrictions. Zbl 1334.34048
Luchka, A. Yu.; Feruk, V. A.
2011
Free oscillations of a fluid in a cylindrical container with arbitrary axisymmetric bottom and elastic elements on the free surface of the fluid. Zbl 1334.76014
Bohun, R. I.; Trotsenko, V. A.
2011
On approximate solution of periodic boundary-value problems with delay by the least-squares method in the critical case. Zbl 1334.34146
Chuiko, S. M.; Chuiko, A. S.
2012
Asymptotic nonlinear multimodal modeling of liquid sloshing in an upright circular cylindrical tank. I: Modal equations. Zbl 1334.76011
Lukovsky, I.; Ovchynnykov, D.; Timokha, A.
2012
Averaging in fuzzy controlled systems. Zbl 1334.93107
Komleva, T. A.; Plotnikova, L. I.; Plotnikov, A. V.; Skripnik, N. V.
2012
Exponentially dichotomous difference equations with non-Lipschitz perturbations. Zbl 1334.39035
Slyusarchuk, V. Yu.
2012
Almost periodic solutions of Mackey-Glass equations with pulse action. Zbl 1334.34153
Myslo, Yu. M.; Tkachenko, V. I.
2012
On the parametrization of boundary-value problems with two-point nonlinear boundary conditions. Zbl 1334.34053
Ronto, M. I.; Marynets&rsquo;, K. V.
2012
Averaging of fuzzy differential equations on a finite interval. Zbl 1334.34009
Plotnikov, A. V.; Komleva, T. A.
2012
Periodic solutions of systems of linear difference equations with continuous argument. Zbl 1334.39003
Bohai, N. A.
2012
On the unboundedness of a solution of the mixed problem for a nonlinear evolution equation at a finite time. Zbl 1343.35068
Pukach, P. Ya.
2012
Stabilization of optically coupled lasers with periodic pumping. Zbl 1334.78037
Torres, P. J.
2012
Convergence of the positive solutions of a nonlinear neutral difference equation. Zbl 1334.39034
Chatzarakis, G. E.; Karakostas, G. L.; Stavroulakis, I. P.
2012
On stability of solutions of nonlinear nonstationary systems of impulsive differential equations in a critical case. Zbl 1334.34038
Dvirnyi, A. I.; Slyn&rsquo;ko, V. I.
2012
Asymptotic behavior of one class of solutions of nonlinear nonautonomous second-order differential equations. Zbl 1341.34056
Koz&rsquo;ma, A. A.
2012
Iterative method for quasilinear integral equations with constraints. Zbl 1334.45009
Luchka, A. Yu.; Mel&rsquo;nychuk, V. F.
2012
Oscillation criteria for a second-order quasilinear neutral functional dynamic equation on time scales. Zbl 1334.34196
Saker, S. H.
2011
Boundary-value problems for differential inclusions with Riemann-Liouville fractional derivative. Zbl 1334.34046
Benchohra, M.; Djebali, S.; Hamani, S.
2011
Global stability of solutions of nonstationary monotone differential equations with impulsive action in the pseudolinear form. Zbl 1334.34137
Dvirnyi, A. I.; Slyn&rsquo;ko, V. I.
2011
Chaotifying 2-D piecewise-linear maps via a piecewise-linear controller function. Zbl 1334.37102
2011
On $$n$$th-order nonlinear ordinary random differential equations. Zbl 1334.60116
Dhage, B. C.
2011
Periodic and asymptotically periodic solutions of systems of differential-difference equations of neutral type. Zbl 1334.34150
Kachurivs&rsquo;kyi, R. I.; Pelyukh, H. P.
2011
Model of a dynamical system of a conflict triad. Zbl 1336.92092
Koshmanenko, V. D.; Samoilenko, I. V.
2011
Stability and stabilization of the family of pseudolinear differential systems. Zbl 1341.34066
Mazko, A. G.; Shram, V. V.
2011
On the asymptotic stability of a neural network on a time scale. Zbl 1334.34195
Luk&rsquo;yanova, T. A.; Martynyuk, A. A.
2011
Construction of approximate solutions of systems of differential equations with parameters and restrictions. Zbl 1334.34048
Luchka, A. Yu.; Feruk, V. A.
2011
Free oscillations of a fluid in a cylindrical container with arbitrary axisymmetric bottom and elastic elements on the free surface of the fluid. Zbl 1334.76014
Bohun, R. I.; Trotsenko, V. A.
2011
Weakly nonlinear boundary-value problems for differential equations in a Banach space in the critical case. Zbl 1334.34136
Boichuk, O. A.; Panasenko, E. V.
2011
2011
Existence of local and global solutions of fractional-order differential equations. Zbl 1334.34138
Muslim, M.; Conca, C.; Agarwal, R. P.
2011
Estimate for the number of perturbed ultrasubharmonics of a system with one and a half degrees of freedom close to a Hamiltonian system. Zbl 1336.37051
Vakal, Yu. E.; Parasyuk, I. O.
2011
Dynamics of inner mappings. Zbl 1334.37005
Vlasenko, I. Yu.
2011
Asymptotic analysis of boundary-value problems in thin perforated domains with rapidly varying thickness. Zbl 1334.74057
Mel&rsquo;nyk, T. A.; Popov, A. V.
2010
Symmetries of center singularities of plane vector fields. Zbl 1334.37016
Maksymenko, S. I.
2010
Invariant manifolds of one class of systems of impulsive differential equations. Zbl 1334.34040
Perestyuk, M. O.; Feketa, P. V.
2010
On the structure of the set of continuous solutions of functional difference equations with linearly transformed argument. Zbl 1334.39050
Pelyukh, H. P.; Sivak, O. A.
2010
On the minimal speed of traveling waves for a nonlocal delayed reaction-diffusion equation. Zbl 1334.35114
Aguerrea, M.; Valenzuela, G.
2010
Nonlinear Noetherian boundary-value problems in the critical case. Zbl 1334.34051
Chuiko, S. M.; Boichuk, I. A.
2010
Averaging method in problems of control over periodic systems. Zbl 1334.49072
Dobrodzii, T. V.
2010
Sufficient conditions for the oscillation of solutions of first-order neutral delay impulsive differential equations with constant coefficients. Zbl 1334.34175
Dimitrova, M. B.; Donev, V. I.
2010
Approximation of Poisson integrals by repeated de la Vallée Poussin sums. Zbl 1334.41042
Rovenskaya, O. G.; Novikov, O. A.
2010
On the asymptotic integration of a singularly perturbed system of linear differential equations with deviating argument. Zbl 1334.34167
Klyuchnyk, I. H.; Zavizion, H. V.
2010
On the construction of asymptotic solutions of two-point boundary-value problems for degenerate singularly perturbed systems of differential equations. Zbl 1334.34055
Yakovets&rsquo;, V. P.; Vira, M. B.
2010
Solution of a heat equation with delay. Zbl 1277.35193
Khusainov, D. Ya.; Ivanov, A. F.; Kovarzh, I. V.
2009
Asymptotic representations of solutions of nonautonomous second-order differential equations with nonlinearities close to power-type nonlinearities. Zbl 1277.34061
Belozerova, M. A.
2009
Numerical-analytic method for finding solutions of systems with distributed parameters and integral condition. Zbl 1277.35244
Tkach, B. P.; Urmancheva, L. B.
2009
Autonomous Noetherian boundary-value problem in the critical case. Zbl 1277.34078
Chuiko, S. M.; Boichuk, I. A.
2009
Boundary-value problems for differential equations in a Banach space. Zbl 1277.34084
Boichuk, O. A.; Panasenko, E. V.
2009
On the approximate solution of autonomous boundary-value problems by the least-squares method. Zbl 1277.65056
Chuiko, S. M.; Starkova, O. V.
2009
Homogenization of the Signorini boundary-value problem in a thick plane junction. Zbl 1277.35035
Kazmerchuk, Yu. A.; Mel&rsquo;nyk, T. A.
2009
Construction of solutions of integro-differential equations with restrictions and control by projection-iterative method. Zbl 1277.45012
Luchka, A. Yu.; Nesterenko, O. B.
2009
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.
2009
Approximate bounded synthesis for a weakly nonlinear boundary-value problem. Zbl 1277.49006
Kapustyan, O. V.; Kapustyan, O. A.; Sukretna, A. V.
2009
Investigation of the structure of the set of continuous solutions of systems of linear functional difference equations. Zbl 1277.39034
Pelyukh, H. P.; Sivak, O. A.
2009
Asymptotic properties of solutions of systems of nonlinear functional differential equations of neutral type. Zbl 1277.34107
Vel&rsquo;hach, A. V.
2009
Applications of perturbations on accretive mappings to nonlinear elliptic systems involving $$(p, q)$$-Laplacian. Zbl 1277.35167
Wei, Li; Agarwal, R. P.; Wong, P. J. Y.
2009
Method of local linear approximation in the theory of bounded solutions of nonlinear difference equations. Zbl 1277.39026
Slyusarchuk, V. Yu.
2009
Nonpositive solutions of a functional differential inequality. Zbl 1277.34112
Lomtatidze, A.; Opluštil, Z.; Šremr, J.
2009
Symmetries of degenerate center singularities of plane vector fields. Zbl 1277.37036
Maksymenko, S. I.
2009
Necessary conditions for the existence of positive solutions of second-order linear difference equations and sufficient conditions for the oscillation of solutions. Zbl 1277.39023
2009
On the asymptotic integration of a linear system of differential equations with a small parameter in the coefficients of some derivatives. Zbl 1277.34082
Samoilenko, A. M.; Klyuchnyk, I. H.
2009
Transversal oscillations of a fluid in a long cylindrical container with membrane or elastic plate on the free surface. Zbl 1277.76008
Trotsenko, V. A.; Bogun, R. I.
2009
Continuous solutions of nonlinear functional difference equations and their properties. Zbl 1277.39016
Pelyukh, H. P.; Sivak, O. A.
2009
Instability of solutions for certain nonlinear vector differential equations of fourth order. Zbl 1277.34074
Tunç, C.
2009
Asymptotics of the trajectory of an interval that contains the preimage of a periodic point. Zbl 1277.37065
Fedorenko, V. V.
2009
Conditions for bifurcations of solutions of degenerate boundary-value problems. Zbl 1277.34042
Boichuk, O. A.; Shehda, L. M.
2009
Periodic solutions of systems of functional differential equations with linear deviations of argument and their properties. Zbl 1277.34099
Denysenko, N. L.
2009
Solution of linear degenerate systems of differential equations. Zbl 1277.34012
Chechel&rsquo;, A. A.
2009
Multipoint problem for higher-order parabolic equations in a parallelepiped. Zbl 1277.35199
Ptashnyk, B. I.; Tymkiv, I. R.
2009
On the behavior of solutions of systems of linear functional differential equations with constant coefficients and linearly transformed argument in the neighborhood of a singular point. Zbl 1277.34092
Bel&rsquo;skii, D. V.
2009
On the permanence of periodic predator-prey systems with stage structure and pulse action. Zbl 1277.92029
Myslo, Yu. M.; Tkachenko, V. I.
2009
Representation of a solution of the Cauchy problem for an oscillating system with pure delay. Zbl 1276.34055
Khusainov, D. Ya.; Diblík, J.; Růžičková, M.; Lukáčová, J.
2008
On an approximate solution of boundary-value problems by the least squares method. Zbl 1277.65055
Chuiko, S. M.
2008
Projection method for the solution of integro-differential equations with restrictions and control. Zbl 1275.65095
Luchka, A. Yu.; Nesterenko, O. B.
2008
Bounded solutions of weakly nonlinear differential equations in a Banach space. Zbl 1276.34051
Boichuk, O. A.; Pokutnyi, O. O.
2008
Asymptotics of solutions of nonautonomous second-order ordinary differential equations close to linear equations. Zbl 1276.34041
Abu-Elshour, Mousa Jaber
2008
On a class of differential equations of fractional order. Zbl 1277.26013
Vityuk, A. N.; Mikhailenko, A. V.
2008
On positive periodic solutions of nonlinear impulsive functional differential equations. Zbl 1277.34100
Kocherha, O. I.; Nenya, O. I.; Tkachenko, V. I.
2008
Bifurcation of solutions of an impulsive boundary-value problem. Zbl 1276.34022
Boichuk, A. A.; Chuiko, S. M.
2008
Averaging of fuzzy differential equations with delay. Zbl 1277.34004
Kichmarenko, O. D.; Skripnik, N. V.
2008
New solvability conditions for a nonlocal boundary-value problem for nonlinear functional differential equations. Zbl 1277.34091
Opluštil, Z.
2008
On Lyapunov stability of impulsive Takagi-Sugeno fuzzy systems. Zbl 1277.93059
Denisenko, V. S.; Martynyuk, A. A.; Slyn&rsquo;ko, V. I.
2008
Existence of an invariant torus for a class of systems of differential equations. Zbl 1277.34077
Perestyuk, M. O.; Baloha, S. I.
2008
Singular integral inequalities with several nonlinearities and integral equations with singular kernels. Zbl 1275.45002
Medved&rsquo;, M.
2008
Implicit difference methods for parabolic functional differential problems of the Neumann type. Zbl 1277.65071
Kropielnicka, K.
2008
On weak critical posets with respect to the positive definiteness of a quadratic Tits form. Zbl 1281.16025
Polishchuk, A. M.
2008
On the existence of solutions and averaging of multipoint boundary-value problems for multifrequency systems with linearly transformed argument. Zbl 1277.34021
Bihun, Ya. I.
2008
Second-order nonlinear differential equations with an infinite set of periodic solutions. Zbl 1277.34048
2008
Averaging method in some problems of optimal control. Zbl 1277.49034
Nosenko, T. V.; Stanzhyts&rsquo;kyi, O. M.
2008
Averaging of impulsive fuzzy differential equations. Zbl 1277.34054
Skripnik, N. V.
2008
Quantum mathematics: backgrounds and some applications to nonlinear dynamical systems. Zbl 1276.81114
Bogolyubov, N. N. jun.; Golenia, J.; Prykarpatsky, A. K.; Taneri, U.
2008
Dirichlet problem with $$\phi$$-Laplacian and mixed singularities. Zbl 1282.34029
Rachůnková, I.; Stryja, J.
2008
Hyperbolic horseshoe for circle diffeomorphisms with break. Zbl 1417.37152
Teplins&rsquo;kyi, O. Yu.
2008
Construction of asymptotic solutions of a singularly perturbed linear system of differential equations with irregular singular point in the case of a multiple spectrum of the boundary matrix. Zbl 1276.34079
Yakovets&rsquo;, V. P.; Holovchenko, O. V.
2008
A second-order multivalued boundary-value problem and impulsive neutral functional differential inclusions in Banach spaces. Zbl 1276.34054
Wei, L.; Zhu, J.
2008
Phase chaos and multistability in the discrete Kuramoto model. Zbl 1417.37130
Maistrenko, V.; Vasylenko, A.; Maistrenko, Yu.; Mosekilde, E.
2008
Best linear methods for approximation of bounded harmonic functions. Zbl 1278.41013
Savchuk, V. V.
2008
Degenerate Fredholm boundary-value problems. Zbl 1268.34050
Boichuk, O. A.; Shehda, L. M.
2007
Studying the stability of equilibrium solutions in a planar circular restricted four-body problem. Zbl 1268.70012
Grebenikov, E. A.; Gadomski, L.; Prokopenya, A. N.
2007
Differential inclusions with Hukuhara derivative. Zbl 1268.34045
Komleva, T. A.; Plotnikov, A. V.
2007
Even systems of functional differential equations with restrictions and methods for their solution. Zbl 1268.34130
Luchka, A. Yu.
2007
Faedo-Galerkin method for nonlinear second-order evolution equations with Volterra operators. Zbl 1268.34066
Zadoyanchuk, N. V.; Kas&rsquo;yanov, P. O.
2007
...and 34 more Documents
all top 5

#### Cited by 379 Authors

 22 Chuĭko, Sergeĭ Mikhaĭlovich 11 Assanova, Anar Turmaganbetkyzy 10 Boĭchuk, Oleksandr Andriĭovych 10 Wang, Jinrong 9 Diblík, Josef 7 Arrieta, José M. 7 Evtukhov, Vyacheslav Mikhaĭlovich 7 Stević, Stevo 6 Agarwal, Ravi P. 6 Slyusarchuk, Vasyl Yukhimovich 5 Luchka, A. Yu 5 Plotnikov, Andreĭ Viktorovich 5 Pokutnyĭ, Oleksandr Olekseevich 5 Pospíšil, Michal 5 Skripnik, Natalia Viktorovna 5 Villanueva-Pesqueira, Manuel 4 Boichuk, I. A. 4 Fečkan, Michal 4 Feketa, Petro V. 4 Kasyanov, Pavlo O. 4 Khusainov, Denis Ya. 4 Lila, D. M. 4 Maksymenko, Sergiĭ Ivanovych 4 Medveď, Milan 4 Nesmelova, Ol’ga Vladimirovna 4 Tkachenko, Victor Ivanovich 3 Candan, Tuncay 3 Chechkin, Gregory Aleksandrovich 3 Chechkina, Tatiana P. 3 Cheng, Xuhua 3 Domoshnitsky, Alexander I. 3 Hakl, Robert 3 Kapustyan, Oleksiy V. 3 Kichmarenko, Olga D. 3 Komleva, Tatyana A. 3 Koshmanenko, Volodymyr Dmytrovych 3 Li, Tongxing 3 Nesterenko, Olga B. 3 O’Regan, Donal 3 Panasenko, Evgeniy V. 3 Pelyukh, H. P. 3 Perestyuk, Mykola Oleksiĭovych 3 Perestyuk, Yuriy M. 3 Půža, Bedřich 3 She, Zhikun 3 Slyn’ko, Vitalii Ivanovich 3 Timokha, Alexander N. 3 Vladova, E. S. 3 Wang, Qiru 3 Wei, Li 3 Wong, Patricia J. Y. 3 Zhang, Guobao 3 Zhang, Shaoyan 2 Aguerrea, Maitere 2 Bakirova, Elmira A. 2 Belan, E. P. 2 Betsko, I. V. 2 Bohner, Martin J. 2 Boĭchuk, Andrei Aleksandrovich 2 Chatzarakis, George E. 2 Chuiko, An. S. 2 Cortés López, Juan Carlos 2 D’Apice, Ciro 2 Dashkovskiy, Sergey N. 2 De Maio, Umberto 2 Denysenko, Natalia L. 2 Dilna, Nataliya 2 Dzyuba, M. V. 2 Elshour, Mousa Jaber Abu 2 Er’omina, T. O. 2 Feruk, V. A. 2 Il’kiv, Volodymyr Stepanovych 2 Imanchiev, Askarbek Ermekovich 2 Klyuchnyk, I. H. 2 Koz’ma, A. A. 2 Li, Mengmeng 2 Liang, Chengbin 2 Liu, Zhenhai 2 Lukoyanov, Nikolaĭ Yur’evich 2 Luo, Zijian 2 Ma, Zhaohai 2 Marynets, Kateryna 2 März, Roswitha 2 Medina, Rigoberto 2 Mel’nyk, Taras A. 2 Morávková, Blanka 2 Myslo, Yu. M. 2 Nguyen Tien Zung 2 Nytrebych, Zinovii Mykolaiovych 2 Ogulenko, A. P. 2 Pandey, Dwijendra Narain 2 Parasyuk, Igor O. 2 Pereira, Marcone Corrêa 2 Pirus, O. E. 2 Plaksin, Anton Romanovich 2 Pokojovy, Michael 2 Prokopenya, Alexander N. 2 Prykarpatsky, Anatoliy Karolevych 2 Pukach, Petro Ya. 2 Rachůnková, Irena ...and 279 more Authors
all top 5

#### Cited in 96 Journals

 69 Journal of Mathematical Sciences (New York) 34 Nonlinear Oscillations 22 Ukrainian Mathematical Journal 12 Applied Mathematics and Computation 10 Abstract and Applied Analysis 10 Advances in Difference Equations 7 Applied Mathematics Letters 5 Journal of Mathematical Analysis and Applications 5 Cybernetics and Systems Analysis 4 Computers & Mathematics with Applications 4 Mathematical Methods in the Applied Sciences 4 Journal of Computational and Applied Mathematics 4 International Applied Mechanics 4 Lobachevskii Journal of Mathematics 4 Mediterranean Journal of Mathematics 4 Boundary Value Problems 3 Journal of Mathematical Physics 3 Journal of Differential Equations 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Russian Mathematics 3 Nonlinear Dynamics 3 Differential Equations 2 Mathematica Slovaca 2 Programming and Computer Software 2 Journal of Integral Equations and Applications 2 Automation and Remote Control 2 SIAM Journal on Mathematical Analysis 2 Celestial Mechanics and Dynamical Astronomy 2 Computational and Applied Mathematics 2 Georgian Mathematical Journal 2 Opuscula Mathematica 2 Journal of Difference Equations and Applications 2 Discrete Dynamics in Nature and Society 2 Regular and Chaotic Dynamics 2 Communications on Pure and Applied Analysis 2 Journal of Applied Mathematics and Computing 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Proceedings of the Steklov Institute of Mathematics 2 Carpathian Mathematical Publications 1 Applicable Analysis 1 International Journal of Theoretical Physics 1 Journal of Fluid Mechanics 1 Mathematical Notes 1 Nonlinearity 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Acta Mathematica Vietnamica 1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 1 Applied Mathematics and Optimization 1 Automatica 1 Czechoslovak Mathematical Journal 1 Demonstratio Mathematica 1 Fuzzy Sets and Systems 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Approximation Theory 1 Osaka Journal of Mathematics 1 Siberian Mathematical Journal 1 Topology and its Applications 1 Acta Applicandae Mathematicae 1 Bulletin of the Iranian Mathematical Society 1 Physica D 1 Applied Numerical Mathematics 1 Mathematical and Computer Modelling 1 The Annals of Applied Probability 1 Computational Mathematics and Mathematical Physics 1 Linear Algebra and its Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Computer and Systems Sciences International 1 Russian Journal of Mathematical Physics 1 Journal of the Egyptian Mathematical Society 1 Turkish Journal of Mathematics 1 Memoirs on Differential Equations and Mathematical Physics 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Taiwanese Journal of Mathematics 1 Journal of Dynamical and Control Systems 1 Nonlinear Analysis. Real World Applications 1 Discrete and Continuous Dynamical Systems. Series B 1 Computational Methods in Applied Mathematics 1 Journal of Applied Mathematics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of the Indonesian Mathematical Society 1 Fixed Point Theory and Applications 1 International Journal of Numerical Analysis and Modeling 1 Chebyshevskiĭ Sbornik 1 Communications in Mathematical Analysis 1 Asian-European Journal of Mathematics 1 Advances in Mathematical Physics 1 Set-Valued and Variational Analysis 1 Eurasian Mathematical Journal 1 ISRN Mathematical Physics 1 Journal of Applied Analysis and Computation 1 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki 1 Journal of Computational Dynamics 1 Electronic Journal of Mathematical Analysis and Applications EJMAA 1 International Journal of Applied and Computational Mathematics
all top 5

#### Cited in 41 Fields

 175 Ordinary differential equations (34-XX) 64 Partial differential equations (35-XX) 35 Dynamical systems and ergodic theory (37-XX) 29 Difference and functional equations (39-XX) 25 Operator theory (47-XX) 23 Numerical analysis (65-XX) 19 Integral equations (45-XX) 17 Systems theory; control (93-XX) 15 Mechanics of particles and systems (70-XX) 13 Mechanics of deformable solids (74-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 10 Biology and other natural sciences (92-XX) 8 Fluid mechanics (76-XX) 7 Real functions (26-XX) 7 Probability theory and stochastic processes (60-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Approximations and expansions (41-XX) 4 Manifolds and cell complexes (57-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Optics, electromagnetic theory (78-XX) 2 History and biography (01-XX) 2 Functions of a complex variable (30-XX) 2 Computer science (68-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Operations research, mathematical programming (90-XX)