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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

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

Necessary conditions of optimality for impulsive differential inclusions

Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171), 2002
In this paper, we address a class of optimal control problems with dynamic constraints are specified by a differential inclusion, the control variables are in the space of positive Borel measures and the state trajectories are considered to be in the space of /spl Rscr//sup n/-valued functions of bounded variation.
F.L. Pereira, G.N. Silva, R.B. Vinter
openaire   +1 more source

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

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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