Existence results for impulsive differential inclusions with nonlocal conditions

DOI10.1016/j.camwa.2011.06.034zbMath1231.34107OpenAlexW2042107953MaRDI QIDQ5894500

Shaochun Ji, Gang Li

Publication date: 5 February 2012

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.06.034

zbMATH Keywords

fixed point theoremsmild solutionsnonlocal conditionsimpulsive differential inclusionsmultivalued analysis

Mathematics Subject Classification ID

Ordinary differential inclusions (34A60) Evolution inclusions (34G25) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Boundary value problems with impulses for ordinary differential equations (34B37)

Related Items (20)

Existence and uniqueness of mild solutions for quasi-linear fractional integro-differential equations ⋮ Approximate controllability of semilinear nonlocal fractional differential systems via an approximating method ⋮ 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 ⋮ Mild solution for an impulsive non-autonomous neutral differential equation with a deviated argument ⋮ Existence of mild solution of impulsive quantum stochastic differential equation with nonlocal conditions ⋮ A unified approach to nonlocal impulsive differential equations with the measure of noncompactness ⋮ Existence of mild solutions for a semilinear integrodifferential equation with nonlocal initial conditions ⋮ Existence of mild solutions for semilinear differential equations with nonlocal and impulsive conditions ⋮ Controllability results for impulsive mixed-type functional integro-differential evolution equations with nonlocal conditions ⋮ Existence of mild solutions for a class of non-autonomous evolution equations with nonlocal initial conditions ⋮ Mild solutions to nonlocal impulsive differential inclusions governed by a noncompact semigroup ⋮ A study of nonlocal problems of impulsive integrodifferential equations with measure of noncompactness ⋮ Existence of mild and classical solutions for nonlocal impulsive integrodifferential equations in Banach spaces with measure of noncompactness ⋮ Controllability of second-order impulsive nonlocal Cauchy problem via measure of noncompactness ⋮ Mild solutions of non-autonomous second order problems with nonlocal initial conditions ⋮ Three solutions for fourth-order impulsive differential inclusions via nonsmooth critical point theory ⋮ Hilfer-type fractional differential switched inclusions with noninstantaneous impulsive and nonlocal conditions ⋮ Unnamed Item ⋮ Controllability of nonlocal impulsive functional differential equations with measure of noncompactness in Banach spaces

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