Almost periodic solutions to some second-order nonautonomous differential equations

DOI10.1090/S0002-9939-2011-10970-5zbMath1243.34059MaRDI QIDQ5388807

Tocka Diagana

Publication date: 20 April 2012

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

exponential dichotomysecond-order differential equationalmost periodicSchauder fixed point theorem

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Applications of operator theory to differential and integral equations (47N20) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)

Related Items (12)

Existence results for some damped second-order Volterra integro-differential equations ⋮ About periodicity of impulsive evolution equations through fixed point theory ⋮ S-asymptotically \(\omega\)-periodic solution for fractional differential equations of order \(q\in(0, 1)\) with finite delay ⋮ A connection between almost periodic functions defined on timescales and ℝ ⋮ Almost periodic solutions of sublinear heat equations ⋮ Almost periodic solutions for some higher-order nonautonomous differential equations with operator coefficients ⋮ Almost periodic solutions of the wave equation with damping and impulsive action ⋮ Existence of weighted pseudo anti-periodic solutions to some non-autonomous differential equations ⋮ Existence results for some higher-order evolution equations with operator coefficients ⋮ AP_r solutions for linear functional difference equations with infinite delay with/without Favard's property ⋮ Existence of pseudo almost automorphic mild solutions to stochastic fractional differential equations ⋮ Periodicity of solutions to the Cauchy problem for nonautonomous impulsive delay evolution equations in Banach spaces

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