On Asymptotically Almost Periodic Solutions of a Convolution Equation

DOI10.2307/1998443zbMath0474.45002OpenAlexW4250481521MaRDI QIDQ3930192

Olof J. Staffans

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/1998443

zbMATH Keywords

convolution equationbounded solutionscomplex measureasymptotically almost periodic solutions

Mathematics Subject Classification ID

Classical almost periodic functions, mean periodic functions (42A75) Convolution, factorization for one variable harmonic analysis (42A85) Linear integral equations (45A05)

Related Items (7)

Kadets type and Loomis type theorems for asymptotically almost periodic functions ⋮ Almost periodic at infinity solutions to integro-differential equations with non-invertible operator at derivative ⋮ Tauberian theorems and stability of solutions of the Cauchy problem ⋮ Almost periodic solutions at infinity of differential equations and inclusions ⋮ Relations between different types of spectra and spectral characterizations ⋮ Solutions almost periodic at infinity to differential equations with unbounded operator coefficients ⋮ Asymptotic behavior of solutions of systems of neutral and convolution equations

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• Variants of the Wiener-Levy Theorem, with Applications to Stability Problems for Some Volterra Integral Equations
• Tauberian Theorems for a Positive Definite Form, with Applications to a Volterra Equation
• An Asymptotic Problem for a Positive Definite Operator-Valued Volterra Kernel

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