A scale of almost periodic functions spaces.

zbMath1240.42115MaRDI QIDQ636940

Constantin Corduneanu

Publication date: 1 September 2011

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

Bohr propertyalmost periodic functions spaceBochner property

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Classical almost periodic functions, mean periodic functions (42A75) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

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Limit-periodic solutions of difference and differential systems without global lipschitzianity restrictions ⋮ Existence of \(AP_{r}\)-almost periodic solutions for some classes of functional differential equations ⋮ A strong Szegö-Widom Limit Theorem for operators with almost periodic diagonal ⋮ \(AP_{r}\)-almost periodic solutions to the equation \(\dot{x}(t)= ax(t)+(k\ast x)(t)+f(t)\) ⋮ Coincidence degree methods in almost periodic differential equations ⋮ Asymptotically almost periodic solutions of nonlinear Volterra difference equations with unbounded delay ⋮ Existence of almost periodic solutions to delay differential equations with Lipschitz nonlinearities ⋮ Almost periodic solutions of differential equations with piecewise constant argument of generalized type ⋮ Critical linear difference equation: A study in pathology ⋮ On parametric Gevrey asymptotics for singularly perturbed partial differential equations with delays ⋮ A generalization of Bochner's theorem and its applications in the study of impulsive differential equations

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