Results 31 to 40 of about 318 (84)

Second method of Lyapunov for stability of linear impulsive differential‐difference equations with variable impulsive perturbations

open access: yesInternational Journal of Stochastic Analysis, Volume 11, Issue 2, Page 209-216, 1998., 1997
The present work is devoted to the study of stability of the zero solution to linear impulsive differential‐difference equations with variable impulsive perturbations. With the aid of piecewise continuous auxiliary functions, which are generalizations of the classical Lyapunov′s functions, sufficient conditions are found for the uniform stability and ...
D. D. Bainov   +2 more
wiley   +1 more source

Reduction of differentiable equations with impulse effect

open access: yesInternational Journal of Stochastic Analysis, Volume 10, Issue 1, Page 79-87, 1997., 1995
We consider a problem of a partial linearization of noninvertible differential equations with impulse effect and establish sufficient conditions for the dynamical equivalence.
Lelde Sermone
wiley   +1 more source

Sufficient conditions for oscillations of all solutions of a class of impulsive differential equations with deviating argument

open access: yesInternational Journal of Stochastic Analysis, Volume 9, Issue 1, Page 33-42, 1996., 1995
Sufficient conditions are found for oscillation of all solutions of impulsive differential equation with deviating argument.
D. D. Bainov, M. B. Dimitrova
wiley   +1 more source

Anti-Periodic Boundary Value Problem for Impulsive Fractional Integro Differential Equations [PDF]

open access: yes, 2010
MSC 2010: 34A37, 34B15, 26A33, 34C25, 34K37In this paper we prove the existence of solutions for fractional impulsive differential equations with antiperiodic boundary condition in Banach spaces.
Anguraj, A., Karthikeyan, P.
core  

Ghizzetti′s theorem for piecewise continuous solutions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 2, Page 283-286, 1994., 1994
We obtain that certain second order differential equations have discontinuous solutions which behaves asymptotically as straight lines.
Manuel Pinto
wiley   +1 more source

Impulsive Fractional Differential Inclusions Involving the Caputo Fractional Derivative [PDF]

open access: yes, 2009
Mathematics Subject Classification: 26A33, 34A37.In this paper, we establish sufficient conditions for the existence of solutions for a class of initial value problem for impulsive fractional differential inclusions involving the Caputo fractional ...
Ait Dads, E., Benchohra, M., Hamani, S.
core  

Almost periodic evolution systems with impulse action at state-dependent moments

open access: yes, 2016
We study the existence of almost periodic solutions for semi-linear abstract parabolic evolution equations with impulse action at state-dependent moments. In particular, we present conditions excluding the beating phenomenon in these systems.
Hakl, Robert   +3 more
core   +1 more source

Controllability results for impulsive mixed type functional integro-differential evolution equations with nonlocal conditions [PDF]

open access: yes, 2013
In this paper, we establish the controllability for a class of abstract impulsive mixed-type functional integro-differential equations with finite delay in a Banach space.
Machado, J. A. Tenreiro   +3 more
core   +2 more sources

Delay differential systems with discontinuous initial data and existence and uniqueness theorems for systems with impulse and delay

open access: yesInternational Journal of Stochastic Analysis, Volume 7, Issue 1, Page 49-67, 1994., 1994
The main purpose of this paper is to discuss some qualitative aspects of differential equations with delays and impulses. Such systems are encountered in modeling the dynamics of prices and cultured populations. However, any such discussion has to be based on some existence and uniqueness results for delay equations with discontinuous initial data ...
S. V. Krishna, A. V. Anokhin
wiley   +1 more source

Structure of the solution set to differential inclusions with impulses at variable times [PDF]

open access: yes, 2014
A topological structure of the solution set to differential inclusions with impulses at variable times is investigated. In order to do that an appropriate Banach space is defined. It is shown that the solution set is an $R_{\delta}$-set.
Grudzka, Agata, Ruszkowski, Sebastian
core   +1 more source

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