Limiting equations and some stability properties for asymptotically almost periodic functional differntial equations with infinite delay

DOI10.2748/tmj/1113247565zbMath1022.34074OpenAlexW1966689197MaRDI QIDQ1848688

Satoru Murakami, Yoshiyuki Hino

Publication date: 30 October 2003

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1113247565

zbMATH Keywords

infinite delayfading memorylimiting equationstotally stableasymptotic almost-periodic

Mathematics Subject Classification ID

Almost and pseudo-almost periodic solutions to functional-differential equations (34K14) Functional-differential equations in abstract spaces (34K30) Stability theory of functional-differential equations (34K20)

Related Items (10)

Pseudo almost periodic solutions to some non-autonomous neutral functional differential equations with unbounded delay ⋮ Existence and uniqueness of pseudo almost periodic solutions to some abstract partial neutral functional-differential equations and applications ⋮ Periodicity of solutions for non-autonomous neutral functional differential equations with state-dependent delay ⋮ On the principle of reduction for the nonlinear delay systems ⋮ Asymptotically almost periodic and almost periodic solutions for partial neutral integrodifferential equations ⋮ EXISTENCE OF S-ASYMPTOTICALLY ω-PERIODIC SOLUTIONS FOR ABSTRACT NEUTRAL EQUATIONS ⋮ Method of limiting equations for the stability analysis of equations with infinite delay in the Carathéodory conditions. II ⋮ Pseudo almost periodic mild solutions to hyperbolic evolution equations in intermediate Banach spaces ⋮ Sell's conjecture for non-autonomous dynamical systems ⋮ Asymptotically almost periodic and almost periodic solutions for partial neutral differential equations

Cites Work

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• Functional differential equations with infinite delay
• Stability theory and the existence of periodic solutions and almost periodic solutions
• Existence of almost periodic solutions of some functional differential equations with infinite delay in a Banach space
• Total stability property in limiting equations for a functional-differential equation with infinite delay
• Limiting equations in the stability problem

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