A criterion for the existence of almost periodic solutions of nonlinear differential equations with impulsive perturbation

DOI10.1007/S11253-015-1125-XzbMath1353.34051OpenAlexW2193935052MaRDI QIDQ326030

V. Yu. Slyusarchuk

Publication date: 12 October 2016

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

Full work available at URL: https://doi.org/10.1007/s11253-015-1125-x

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Nonlinear differential equations in abstract spaces (34G20) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

Related Items (2)

Almost periodic solutions of differential equations ⋮ Favard-Amerio theory for almost periodic functional-differential equations without using the \(\mathcal{H}\)-classes of these equations

Cites Work

• Conditions for the existence of almost periodic solutions of nonlinear differential equations in Banach spaces
• Conditions of almost periodicity for bounded solutions of nonlinear difference equations with continuous argument
• Funzioni debolmente quasi-periodiche
• 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
• 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
• The study of nonlinear almost periodic differential equations without recourse to the $\pmb{\mathscr H}$-classes of these equations
• INVERTIBILITY OF NONAUTONOMOUS FUNCTIONAL-DIFFERENTIAL OPERATORS
• Conditions for almost periodicity of bounded solutions of non-linear differential-difference equations
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