Conditions for the existence of almost periodic solutions of nonlinear differential equations in Banach spaces

DOI10.1007/S11253-013-0781-YzbMath1285.34038OpenAlexW2075665659MaRDI QIDQ384024

V. Yu. Slyusarchuk

Publication date: 25 November 2013

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-013-0781-y

zbMATH Keywords

almost periodic solutions in Bochner senseexistence of bounded and almost periodic solutions

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

Related Items (14)

To Favard's theory for functional equations ⋮ Almost periodic solutions of nonlinear equations that are not necessarily almost periodic in Bochner's sense ⋮ A criterion for the existence of almost periodic solutions of nonlinear differential equations with impulsive perturbation ⋮ Almost periodic solutions of functional equations ⋮ Almost periodic solutions of differential equations ⋮ Almost periodic and Poisson stable solutions of difference equations in metric spaces ⋮ Conditions for the existence of solutions of difference equations in the metric space of bounded sequences ⋮ Conditions of solvability for nonlinear differential equations with perturbations of the solutions in the space of functions bounded on the axis ⋮ Favard-Amerio theory for almost periodic functional-differential equations without using the \(\mathcal{H}\)-classes of these equations ⋮ Conditions for the existence of almost periodic solutions of nonlinear difference equations with discrete argument ⋮ Conditions for almost periodicity of bounded solutions of nonlinear differential equations unsolved with respect to the derivative ⋮ Periodic and almost periodic solutions of difference equations in metric spaces ⋮ On the Favard theory without \(\mathcal{H}\)-classes for differential-functional equations in Banach spaces ⋮ Almost periodic solutions of nonlinear discrete systems that can be not almost periodic in Bochner's sense

Cites Work

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• Funzioni debolmente quasi-periodiche
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• On the inversion of functional operators in a space of functions bounded on the axes
• Soluzioni quasi-periodiche, o limitate, di sistemi differenziali non lineari quasi-periodici, o limitati
• Bounded and periodic solutions of nonlinear functional differential equations
• The method of local linear approximation in the theory of nonlinear functional-differential equations
• Method of local linear approximation in the theory of bounded solutions of nonlinear differential equations

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