Asymptotic behavior of solutions to abstract functional differential equations

DOI10.1016/j.jmaa.2009.03.029zbMath1209.34094OpenAlexW2057630921MaRDI QIDQ1025016

Qing Liu, Rong Yuan

Publication date: 18 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.03.029

zbMATH Keywords

almost periodic functionsTauberian theoremsabstract differential equations

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Almost and pseudo-almost periodic solutions to functional-differential equations (34K14) Functional-differential equations in abstract spaces (34K30) Integral transforms, operational calculus (44A99)

Related Items (2)

Almost periodic solutions of partial differential equations with delay ⋮ Asymptotically almost periodic solutions of stochastic functional differential equations

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Evolution semigroups and spectral criteria for almost periodic solutions of periodic evolution equations
• Almost periodic solutions of first- and second-order Cauchy problems
• Generalized almost periodic and ergodic solutions of linear differential equations on the half-line in Banach spaces
• Evolution semigroups and sums of commuting operators: A new approach to the admissibility theory of function spaces
• Asymptotically almost periodic solutions of evolution equations in Banach spaces
• Harmonic analysis and asymptotic behavior of solutions to the abstract Cauchy problem
• Generalized vector valued almost periodic and ergodic distributions
• New spectral criteria for almost periodic solutions of evolution equations
• Equality of two spectra arising in harmonic analysis and semigroup theory
• A spectral countability condition for almost automorphy of solutions of differential equations
• Vector-Valued Tauberian Theorems and Asymptotic Behavior of Linear Volterra Equations
• Asymptotically Almost Periodic Solutions of Inhomogeneous Cauchy Problems on The Half-Line
• Asymptotic behaviour of linear evolutionary integral equations
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