Filippov-Ważewski theorems and structure of solution sets for first order impulsive semilinear functional differential inclusions

zbMath1182.34087MaRDI QIDQ1022818

Abdelghani Ouahab, Lech Gorniewicz, Smaïl Djebali

Publication date: 23 June 2009

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

zbMATH Keywords

ARrelaxationcompactnesssolution setacyclicitymild solutioncontractibilityFilippov's theoremimpulsive functional differential inclusions\(R_\delta\)

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Functional-differential equations in abstract spaces (34K30) (C)-semigroups, regularized semigroups (47D60) Functional-differential inclusions (34K09)

Related Items (12)

The Airy equations with impulsive effect: multi-valued nonlinear perturbations ⋮ Fractional semilinear differential inclusions ⋮ Structure of the solution set to impulsive functional differential inclusions on the half-line ⋮ First-order periodic impulsive semilinear differential inclusions: existence and structure of solution sets ⋮ Filippov lemma for measure differential inclusion ⋮ Impulsive differential inclusions involving evolution operators in separable Banach spaces ⋮ Relaxation result for differential inclusions with Stieltjes derivative ⋮ Relaxation theorem for Stieltjes differential inclusions on infinite intervals ⋮ Mathematical analysis of impulsive fractional differential inclusion of pantograph type ⋮ Topological structure of solution sets for impulsive differential inclusions in Fréchet spaces ⋮ Structure of the solution set to fractional differential inclusions with impulses at variable times on compact interval ⋮ Impulsive differential inclusions with fractional order

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