Nonresonance impulsive functional differential inclusions with variable times
type: Item
instance of: scholarly article
title: Nonresonance impulsive functional differential inclusions with variable times
zbMATH Open document ID: 1071.34063
author: Mouffak Benchohra
author: Abdelghani Ouahab
author: John R. Graef
publication date: 2005-03-08T00:00:00Z
review text: The authors study the existence of solutions of a boundary value problem for first-order functional-differential inclusions with state dependent impulses of the type \[ y'(t)-\lambda y(t)\in F(t,y_t),\text{ for a.e. } t\in J=[0,T]\setminus \{t_1(y(t)),\dots, t_m(y(t))\}, \] \[ y(t^{+}) =I_k(y(t^-)), t=t_k(y(t)), k=1,\dots, m, \] \[ y(t)=\varphi(t), t\in [-r,0], y(0)=y(T), \] and a similar second-order problem. The proof of the main result is based on Martelli's fixed-point theorem for condensing multivalued maps.
Mathematics Subject Classification ID: 34K10
Mathematics Subject Classification ID: 34K45
Mathematics Subject Classification ID: 34A60
zbMATH DE Number: 2142423
zbMATH Keywords: impulsive functional-differential inclusions
zbMATH Keywords: nonresonance problem
zbMATH Keywords: state-dependent impulses
reviewed by: Leonid Berezansky
MaRDI profile type: Publication
full work available at URL: j.camwa.2004.06.025
OpenAlex ID: W2032706947
cites work: Q3824725
cites work: Q3995625
cites work: Q4853771
cites work: On nonresonance impulsive functional differential inclusions with nonconvex valued right-hand side
cites work: Nonresonance impulsive higher order functional nonconvex-valued differential inclusions
cites work: Q4430947
cites work: Q4522565
cites work: Boundary value problems for second order impulsive differential equations using set-valued maps
cites work: Periodic boundary value problem for first order differential equations with impulses at variable times
cites work: Q4487436
cites work: Periodic boundary value problems for functional differential equations with impulses
cites work: Existence of solutions to boundary value problems for impulsive second order differential inclusions
cites work: Impulsive differential equations with variable times
cites work: First order impulsive initial and periodic problems with variable moments
cites work: Second order Sturm-Liouville BVP's with impulses at variable moments
cites work: Extremal solutions, comparison principle and stability criteria for impulsive differential equations with variable times
cites work: Q3835855
cites work: Impulsive integro-differential equations with variable times
cites work: Comparison principle for impulsive differential equations with variable times and stability theory
cites work: The method of upper and lower solutions and monotone technique for impulsive differential equations with variable moments
cites work: Existence and continuability of solutions for differential equations with delays and state-dependent impulses
cites work: On nonresonance impulsive functional differential equations with periodic boundary conditions
cites work: Basic theory for nonresonance impulsive periodic problems of first order
cites work: Q4073972
cites work: Q3883053
cites work: Q4000472
cites work: Q3836181
cites work: Q4367585
cites work: A theorem on the existence of an optimal control for the Goursat-Darboux problem without convexity assumptions
cites work: Q5529751
DOI: 10.1016/J.CAMWA.2004.06.025
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 2142423