Existence results of semilinear differential equations with nonlocal initial conditions in Banach spaces

DOI10.1016/J.NA.2011.05.007zbMath1227.34060OpenAlexW1974474994MaRDI QIDQ549950

Lanping Zhu, Gang Li

Publication date: 19 July 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.05.007

zbMATH Keywords

measure of noncompactnessmild solutionsfixed point theoremconvex-power condensing operator

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Applications of operator theory to differential and integral equations (47N20) Linear differential equations in abstract spaces (34G10)

Related Items (18)

Existence of a mild solution for a neutral stochastic fractional integro-differential inclusion with a nonlocal condition ⋮ On a nonlocal problem for fractional differential equations via resolvent operators ⋮ Measures of noncompactness in spaces of regulated functions with application to semilinear measure driven equations ⋮ Existence results for a class of semilinear nonlocal evolution equations ⋮ Existence of the mild solution for impulsive neutral stochastic fractional integro-differential inclusions with nonlocal conditions ⋮ On the existence of mild solutions for nonlocal differential equations of the second order with conformable fractional derivative ⋮ Evolution equations with nonlocal initial conditions and superlinear growth ⋮ Impulsive differential equations with nonlocal conditions in general Banach spaces ⋮ Existence results for some partial integrodifferential equations with nonlocal conditions ⋮ Nonlocal problems for fractional differential equations via resolvent operators ⋮ Abstract semilinear evolution equations with convex-power condensing operators ⋮ Existence of the mild solution for impulsive semilinear differential equation ⋮ Impulsive mild solutions for semilinear differential inclusions with nonlocal conditions in Banach spaces ⋮ Nonlocal solutions of parabolic equations with strongly elliptic differential operators ⋮ Existence results for some nonlocal partial integrodifferential equations without compactness or equicontinuity ⋮ Measure of noncompactness and semilinear nonlocal functional differential equations in Banach spaces ⋮ Fractional non-autonomous evolution equation with nonlocal conditions ⋮ Existence results for semilinear fractional differential equations via Kuratowski measure of noncompactness

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