Conditions for the existence of almost-periodic solutions of nonlinear difference equations in Banach space

DOI10.1134/S0001434615010289zbMath1323.39014OpenAlexW2009609598MaRDI QIDQ2353735

V. Yu. Slyusarchuk

Publication date: 16 July 2015

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

Full work available at URL: https://doi.org/10.1134/s0001434615010289

zbMATH Keywords

nonlinear differential equationsBanach spacenonlinear difference equationalmost-periodic solutionnonlinear functional differential equations

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Almost and pseudo-almost periodic solutions to functional-differential equations (34K14) Additive difference equations (39A10) General theory of functional-differential equations (34K05) Banach sequence spaces (46B45) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Almost periodic solutions of difference equations (39A24)

Related Items (7)

Almost periodic solutions of differential equations ⋮ Conditions of solvability of functional equations with differentiable \(\lambda\)-injective operator ⋮ On almost periodic trajectories of control systems with feedback in the form of sweeping processes ⋮ Conditions for the existence of solutions of difference equations in the metric space of bounded sequences ⋮ Representation of bounded solutions of linear discrete equations ⋮ Asymptotical stability and asymptotic periodicity for the Lasota-Wazewska model of fractional order with infinite delays ⋮ Favard-Amerio theory for almost periodic functional-differential equations without using the \(\mathcal{H}\)-classes of these equations

Cites Work

• Funzioni debolmente quasi-periodiche
• Method of local linear approximation of nonlinear differential operators by weakly regular operators
• 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
• INVERTIBILITY OF NONAUTONOMOUS FUNCTIONAL-DIFFERENTIAL OPERATORS
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Conditions for the existence of almost-periodic solutions of nonlinear difference equations in Banach space