Existence results for impulsive differential equations with nonlocal conditions via measures of noncompactness

DOI10.22436/JNSA.005.03.04zbMath1306.34088OpenAlexW2792744922MaRDI QIDQ2876394

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Publication date: 19 August 2014

Published in: Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: http://www.tjnsa.com/includes/files/articles/Vol5_Iss3_195--205_Existence_results_for_impulsive__di.pdf

zbMATH Keywords

semigroup theoryimpulsive differential equationsnonlocal conditionsintegral solutionsnondensely definednoncompact measures

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) One-parameter semigroups and linear evolution equations (47D06) Nonlinear differential equations in abstract spaces (34G20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

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Existence and uniqueness of mild solutions for quasi-linear fractional integro-differential equations ⋮ Existence of a mild solution for an impulsive nonlocal non-autonomous neutral functional differential equation ⋮ Existence and uniqueness of the solutions of the nonlinear impulse differential equations with nonlocal boundary conditions ⋮ Unnamed Item ⋮ Existence, stability and smoothness of bounded solutions for an impulsive semilinear system of parabolic equations ⋮ Nonlocal quantum stochastic differential equations with impulsive effects ⋮ Existence of solutions of semilinear time varying differential equations with impulses, delay, and nonlocal conditions

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