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Discrete Approximation of Impulsive Differential Inclusions [PDF]

Numerical Functional Analysis and Optimization, 2010
The paper deals with the approximation of the solution set and the reachable sets of an impulsive differential inclusion with variable times of impulses. It is strongly connected to T. Donchev, ``Approximation of the Solution Set of Impulsive Systems", Lecture Notes in Comput. Sci. 4818 (2008) and is its continuation.
Baier, Robert, Donchev, Tzanko
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Impulsive differential inclusions with fractional order

Computers & Mathematics with Applications, 2010
The authors consider the Cauchy problem for a fractional impulsive differential inclusion: \[ \begin{cases} D^\alpha_*\in F(t,y(t)) \text{ a.e. } \, t\in J\backslash\{t_{1},\dots,t_{m}\},\\ y(t^+_k)=I_k(t^-_k),\; k=1,\dots,m,\\ y'(t^+_k)=\bar I_k(t^-_k),\; k=1,\dots,m,\\ y(0)=a, y'(0)=c, \end{cases} \] the case of fractional differential equations and ...
Henderson, Johnny, Ouahab, Abdelghani
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Controllability results for impulsive functional differential inclusions

Reports on Mathematical Physics, 2004
Control problems appear in many branches of physics and technical sciences. In this paper we investigate the controllability of first order semilinear impulsive functional differential inclusions in the case where the right hand side is convex or nonconvex valued. All results are obtained by using fixed point results for multivalued mappings.
Benchohra M., Ntouyas S. K.
exaly   +6 more sources

Second Order Impulsive Retarded Differential Inclusions with Nonlocal Conditions [PDF]

Abstract and Applied Analysis, 2014
In this work we establish some existence results for abstract second order Cauchy problems modeled by a retarded differential inclusion involving nonlocal and impulsive conditions.
Hernán R. Henríquez, Marcos Rabelo, Luciana Vale   +2 more
doaj   +4 more sources

Impulsive fractional differential inclusions with infinite delay

Electronic Journal of Differential Equations, 2013
In this article, we apply Bohnenblust-Karlin's fixed point theorem to prove the existence of mild solutions for a class of impulsive fractional equations inclusions with infinite delay. An example is given to illustrate the theory.
Khalida Aissani, Mouffak Benchohra
doaj   +2 more sources

POSITIONAL IMPULSE AND DISCONTINUOUS CONTROLS FOR DIFFERENTIAL INCLUSION [PDF]

Ural Mathematical Journal, 2020
Nonlinear control systems presented in the form of differential inclusions with impulse or discontinuous positional controls are investigated. The formalization of the impulse-sliding regime is carried out. In terms of the jump function of the impulse control, the differential inclusion is written for the ideal impulse-sliding regime.
Ivan A. Finogenko, Alexander N. Sesekin
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SOLUTION SET FOR IMPULSIVE FRACTIONAL DIFFERENTIAL INCLUSIONS [PDF]

Kragujevac Journal of Mathematics, 2022
This paper aims to an initial value problem for an impulsive fractional differential inclusion with the Riemann-Liouville fractional derivative. We apply Covitz and Nadler theorem concerning the study of the fixed point for multivalued maps to obtain the existence results for the given problems.
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An analysis concerning approximate controllability results for second-order Sobolev-type delay differential systems with impulses

Journal of Inequalities and Applications, 2022
This paper is devoted to studying the approximate controllability for second-order impulsive differential inclusions with infinite delay. For proving the main results, we use the results related to the cosine and sine function of operators, Martelli’s ...
Kottakkaran Sooppy Nisar, Velusamy Vijayakumar   +1 more
doaj   +1 more source

A System of Coupled Impulsive Neutral Functional Differential Equations: New Existence Results Driven by Fractional Brownian Motion and the Wiener Process

Mathematics, 2023
Conditions for the existence and uniqueness of mild solutions for a system of semilinear impulsive differential equations with infinite fractional Brownian movements and the Wiener process are established.
Abdelkader Moumen, Mohamed Ferhat, Amin Benaissa Cherif, Mohamed Bouye, Mohamad Biomy   +4 more
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APPROXIMATION OF POSITIONAL IMPULSE CONTROLS FOR DIFFERENTIAL INCLUSIONS

Ural Mathematical Journal, 2022
Nonlinear control systems presented as differential inclusions with positional impulse controls are investigated. By such a control we mean some abstract operator with the Dirac function concentrated at each time. Such a control ("running impulse"), as a generalized function, has no meaning and is formalized as a sequence of correcting impulse actions ...
Ivan A. Finogenko, Alexander N. Sesekin
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