Stepanov pseudo‐almost periodic functions and applications

DOI10.1002/MMA.7665zbMath1492.34066arXiv2011.03150OpenAlexW3186828146MaRDI QIDQ5015633

Kamal Khalil, Manuel Pinto, Marko Kostić

Publication date: 9 December 2021

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.03150

zbMATH Keywords

semilinear evolution equationsnonautonomous reaction-diffusion equationsfractional inclusions\(\mu\)-pseudo-almost periodic solutionsMeir and Keeler fixed point argumentStepanov \(\mu\)-pseudo-almost periodic functions

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Ordinary differential inclusions (34A60) Applications of operator theory to differential and integral equations (47N20) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Nonautonomous smooth dynamical systems (37C60) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60) Fractional ordinary differential equations (34A08)

Related Items (3)

Eberlein-weakly almost periodic solutions for some partial functional differential equation with infinite delay ⋮ Stepanov ergodic perturbations for nonautonomous evolution equations in Banach spaces ⋮ Positive almost periodic solutions of nonautonomous evolution equations and application to Lotka–Volterra systems

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