Results 231 to 240 of about 572 (257)

Method of averaging for impulsive differential inclusions

1998
Summary: The paper deals with impulsive differential inclusions in the Euclidean space. The main purpose is to justify the method of averaging in the case of bounded and asymptotically small impulses. The obtained results, which are based on an integral continuity condition, generalize the first Bogolyubov's theorem for the method of averaging.
Plotnikov, V., Ivanov, R., Kitanov, N.
openaire   +4 more sources

Existence results for impulsive hyperbolic differential inclusions

Applicable Analysis, 2003
In this article we investigate the existence of solutions for second order impulsive hyperbolic differential inclusions in separable Banach spaces. By using suitable fixed point theorems, we study the case when the multi-valued map has convex and non-convex values.
M. Benchohra*, L. Gòrniewicz, S.K. Ntouyas‡, A. Quahab   +3 more
openaire   +1 more source

Periodic solutions to impulsive differential inclusions with constraints

Nonlinear Analysis: Theory, Methods & Applications, 2006
Using a Lefschetz-type fixed-point theorem for set-valued maps, the authors prove the existence of a periodic solution to the following impulsive state constraints problem \[ \begin{cases} u'(t)\in F(t,u(t)) & \text{a.e. } \text{\(t\in [0,T]\setminus\{t_1,\ldots,t_n\},\)}\\ u(t_{k}^{+})\in \psi_k(u(t_k)) & \text{for any }k\in \{1,\ldots,n\},\\ u(t)\in ...
Kryszewski, Wojciech, Plaskacz, Sławomir   +1 more
openaire   +2 more sources

Averaging of impulsive differential inclusions with Hukuhara derivative

Nonlinear Oscillations, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Periodic Solutions of Linear Impulsive Differential Inclusions

Nonlinear Oscillations, 2004
For linear differential inclusions with pulse action at fixed times, we establish conditions for the existence of periodic ordinary solutions and R-solutions.
openaire   +1 more source

Impulsive Functional Differential Inclusions with Unbounded Delay

2015
In this chapter, we shall establish sufficient conditions for the existence of mild, extremal mild, integral, and extremal integral solutions for some impulsive semi-linear neutral functional differential inclusions in separable Banach spaces. We shall rely on a fixed point theorem for the sum of completely continuous and contraction operators.
Saïd Abbas, Mouffak Benchohra
openaire   +1 more source

Periodic solutions of linear impulsive differential inclusions

Ukrainian Mathematical Journal, 2008
Summary: We establish sufficient conditions for the existence of periodic \(R\)-solutions of linear differential inclusions with impulses at fixed times.
openaire   +2 more sources

Parametric topological entropy of impulsive differential inclusions

Topological Methods in Nonlinear Analysis
The main aim of this paper is to generalize and improve our earlier results in [J. Differential Equations \textbf{317} (2022), 365-386; \textbf{367} (2023), 783-803] and our joint result with Pavel Ludv\'{\i}k in [Internat. J. Bifur.\ Chaos Appl. Sci. Engrg. \textbf{33} (2023), no.\ 9, 2350113].
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Results on approximate controllability results for second‐order Sobolev‐type impulsive neutral differential evolution inclusions with infinite delay

Numerical Methods for Partial Differential Equations, 2021
Kottakkaran Sooppy Nisar, V Vijayakumar, Sumati Kumari Panda   +2 more
exaly  

Existence results for second order impulsive functional differential inclusions

Journal of Mathematical Analysis and Applications, 2005
Yong-Kui Chang, Wan-Tong Li
exaly