Cover Image

Some modern aspects of the theory of impulsive differential equations

We give a brief survey of the main results obtained in recent years in the theory of impulsive differential equations.

Saved in:

Bibliographic Details
Date:	2008
Main Authors:	Perestyuk, N. A., Chernikova, O. S., Перестюк, М. О., Чернікова, О. С.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2008
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3139
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

On Stability of Integral Sets of Impulsive Differential Systems
by: Perestyuk, N. A., et al.
Published: (2002)

On the Solvability of Impulsive Differential-Algebraic Equations
by: Vlasenko, L. A., et al.
Published: (2005)

On invariance of some properties of solutions under perturbation of a pulse system of differential equations
by: Perestyuk, N. A., et al.
Published: (1994)

Green–Samoilenko operator in the theory of invariant sets of nonlinear differential equations
by: Perestyuk, N. A., et al.
Published: (2009)

Method of local linear approximation in the theory of nonlinear impulsive systems
by: Perestyuk , М. О., et al.
Published: (2023)

Application of Differential Equations Theory with Impulse Excitation for Processes Analysis at Pulse Voltage Converters
by: N. A. Shidlovskaja, et al.
Published: (2013)

Impulsive semilinear functional differential equations
by: Benchohra, M., et al.
Published: (2002)

On invariant sets of differential equations with impulses
by: Tkachenko, V. I.
Published: (1999)

Positive solutions of linear impulsive differential equations
by: Akhmet, M.U., et al.
Published: (2005)

On the Stability of Invariant Sets of Discontinuous Dynamical Systems
by: Perestyuk, N. A., et al.
Published: (2001)

Oscillation of nonlinear hyperbolic differential equations with impulses
by: Anping Liu, et al.
Published: (2004)

Some problems of the linear theory of systems of ordinary differential equations
by: Samoilenko, A. M., et al.
Published: (2011)

Conditions for the Existence of Nonoscillating Solutions of Nonlinear Differential Equations with Delay and Pulse Influence in a Banach Space
by: Perestyuk, N. A., et al.
Published: (2003)

Some problems of the linear theory of systems of ordinary differential equations
by: Samoilenko, A.M.
Published: (2011)

Piecewise-polynomial approximations for the solutions of impulsive differential equations
by: Bilenko, V. I., et al.
Published: (2019)

Piecewise-polynomial approximations for the solutions of impulsive differential equations
by: V. I. Bilenko, et al.
Published: (2019)

Uniqueness of solutions of impulsive hyperbolic differential-functional equations
by: Janiszewska-Walczak, D., et al.
Published: (1999)

Uniqueness of solutions of impulsive hyperbolic differential-functional equations
by: Janiszewska-Walczak, D.
Published: (1999)

Global attractors of impulsive infinite-dimensional systems
by: Kapustyan, O. V., et al.
Published: (2016)

On Some Problems of the Asymptotic Theory of Linear Differential Equations of the nth Order
by: Evtukhov, V. M., et al.
Published: (2002)

«Shortening» of calculating systems of differential equations with the impulse effeсt
by: Rogovchenko , S. P., et al.
Published: (1988)

Averaging of set-valued impulsive systems
by: Perestyuk, N. A., et al.
Published: (2013)

Frequency locking of periodic solutions to differential equations with impulsive perturbations
by: A. V. Dvornyk, et al.
Published: (2022)

On the stability of a trivial invariant torus of one class of impulsive systems
by: Dudzyanyi, S. I., et al.
Published: (1998)

Some questions of the theory of oscillation (non-oscillation) of the solutions of second order delay differential equations
by: Shevelо, V. N., et al.
Published: (1971)

Frequency locking of periodic solutions to differential equations with impulsive perturbations
by: Dvornyk, A. V., et al.
Published: (2022)

Impulsive functional differential equations of fractional order with variable moments
by: H. Ergцren
Published: (2016)

Impulsive functional differential equations of fractional order with variable moments
by: Ergören, H., et al.
Published: (2016)

General Theorems on the Existence and Uniqueness of Solutions of Impulsive Differential Equations
by: Slyusarchuk, V. E., et al.
Published: (2000)

On the existence of discontinuous limit cycles for one system of differential equations with pulse influence
by: Gorbachuk, T. V., et al.
Published: (1997)

Reduction theorems for the problem of stability of critical equilibria of impulsive differential equations
by: A. I. Dvirnyj, et al.
Published: (2013)

On the stability of abstract monotone impulsive differential equations in terms of two measures
by: Dvirnyi, A. I., et al.
Published: (2011)

On the theory of integral manifolds for some delayed partial differential equations with nondense domain
by: C. Jendoubi
Published: (2020)

On the theory of integral manifolds for some delayed partial differential equations with nondense domain
by: Jendoubi, C., et al.
Published: (2020)

Exponential dichotomy and existence of almost periodic solutions of impulsive differential equations
by: V. I. Tkachenko
Published: (2014)

Existence and asymptotic behavior of the positive solutions of neutral impulsive differential equations
by: Dimitrova, M.B., et al.
Published: (2005)

Exponential dichotomy and existence of almost periodic solutions of impulsive differential equations
by: Tkachenko, V.I.
Published: (2014)

Oscillation and asymptotic behavior of odd-order delay differential equations with impulses
by: Chen, F.
Published: (2012)

Periodic solutions of nonlinear differential equations with pulse influence in a banach space
by: Perestyuk, N. A., et al.
Published: (1995)

Competition: Some Aspects of Theory and Practice
by: N. E. Briukhovetskaia, et al.
Published: (2015)