Existence and stability of almost periodic solutions for impulsive differential equations

DOI10.1186/1687-1847-2012-34zbMath1291.34076OpenAlexW2103343990WikidataQ57534437 ScholiaQ57534437MaRDI QIDQ2447990

Junwei Liu, Chuanyi Zhang

Publication date: 29 April 2014

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2012-34

zbMATH Keywords

Schauder's fixed point theoremasymptotic stabilityabstract impulsive differential equationsgeneralized Gronwall-Bellman inequality

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Nonlinear differential equations in abstract spaces (34G20) Stability of solutions to ordinary differential equations (34D20) Applications of operator theory to differential and integral equations (47N20) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

Related Items (8)

Composition of piecewise pseudo almost periodic functions and applications to abstract impulsive differential equations ⋮ Existence and exponential stability of pseudo almost periodic solutions for impulsive nonautonomous partial stochastic evolution equations ⋮ The existence and uniqueness of mild solutions to stochastic differential equations with Lévy noise ⋮ Pseudo almost periodicity and its applications to impulsive nonautonomous partial functional stochastic evolution equations ⋮ Piecewise weighted pseudo almost periodicity of impulsive integro-differential equations with fractional order \(1<\alpha<2\) ⋮ Existence of almost periodic solutions for impulsive neutral functional differential equations ⋮ Square-mean piecewise almost automorphic mild solutions to a class of impulsive stochastic evolution equations ⋮ Asymptotic stability of solutions for some classes of impulsive differential equations with distributed delay

Cites Work

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