Periodicity of solutions to the Cauchy problem for nonautonomous impulsive delay evolution equations in Banach spaces

DOI10.1142/S0219530515500281zbMath1364.47047OpenAlexW2161177020MaRDI QIDQ5269877

Jin Liang, Hong-Kun Xu, Ti-Jun Xiao, James H. Liu

Publication date: 28 June 2017

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219530515500281

zbMATH Keywords

Gronwall-Bellman inequalityimpulsive perturbationnonautonomous evolution equationperiodicity of solution

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Periodic solutions to ordinary differential equations (34C25) One-parameter semigroups and linear evolution equations (47D06) Nonlinear differential equations in abstract spaces (34G20) Applications of operator theory to differential and integral equations (47N20) Partial differential equations of mathematical physics and other areas of application (35Q99) Linear differential equations in abstract spaces (34G10)

Related Items (8)

Periodic measures of impulsive stochastic neural networks lattice systems with delays ⋮ Existence and asymptotic stability of periodic solutions for neutral evolution equations with delay ⋮ Positive periodic solutions for abstract evolution equations with delay ⋮ Existence and asymptotic stability of periodic solutions for impulsive delay evolution equations ⋮ Generalizations of Darbo's fixed point theorem and solvability of integral and differential systems ⋮ Existence of periodic solutions for hybrid evolution equation with delay in partially ordered Banach spaces ⋮ Infinitely many solutions for second-order impulsive differential inclusions with relativistic operator ⋮ Existence and regularity of periodic solutions for neutral evolution equations with delays

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