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Existence and controllability results for impulsive stochastic integro-differential inclusions with infinite delay

Stochastics
In this study, the existence and controllability of impulsive stochastic integro-differential inclusions with infinite delay are investigated. By employing the measure of noncompactness technique, resolvent operator solution in the sense of Grimmer and ...
Oussama Melati   +2 more
semanticscholar   +1 more source

Controllability of Nonlocal Impulsive Semilinear Differential Inclusions with Fractional Sectorial Operators and Infinite Delay

Scientific Journal of King Faisal University: Basic and Applied Sciences
This paper demonstrates the controllability of two fractional nonlocal impulsive semilinear differential inclusions with infinite delay, where the linear part is a fractional sectorial operator and the nonlinear term is a multivalued function.
F. Aladsani, Ahmed M. Ibrahim
semanticscholar   +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   +1 more
openaire   +2 more sources

Infinitely Many Solutions for Second-Order Impulsive Differential Inclusions with Relativistic Operator

Qualitative Theory of Dynamical Systems, 2021
Suiming Shang   +3 more
semanticscholar   +1 more source

Impulsive integro‐differential inclusions with nonlocal conditions: Existence and Ulam's type stability

Mathematical methods in the applied sciences
This article focuses on the existence and Ulam–Hyers–Rassias stability outcomes pertaining to a specific category of impulsive integro‐differential inclusions (with instantaneous and non‐instantaneous impulses).
A. Bensalem, A. Salim, M. Benchohra
semanticscholar   +1 more source

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

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

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