Method of local linear approximation in the theory of bounded solutions of nonlinear difference equations

DOI10.1007/s11072-010-0083-3zbMath1277.39026OpenAlexW2019113374MaRDI QIDQ386585

V. Yu. Slyusarchuk

Publication date: 9 December 2013

Published in: Nonlinear Oscillations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11072-010-0083-3

Mathematics Subject Classification ID

Growth, boundedness, comparison of solutions to difference equations (39A22)

Related Items

Nonlinear autonomous difference operators in the space of bounded sequences that are \(C^1\)-diffeomorphisms ⋮ Conditions of solvability of functional equations with differentiable \(\lambda\)-injective operator ⋮ Method of local linear approximation in the theory of nonlinear impulsive systems ⋮ Representation of bounded solutions of linear discrete equations ⋮ Method of locally linear approximation of nonlinear difference operators by weakly regular operators ⋮ Necessary and sufficient conditions for the invertibility of nonlinear differentiable maps ⋮ Method of local linear approximation of nonlinear differential operators by weakly regular operators ⋮ Conditions for the existence of almost periodic solutions of nonlinear difference equations with discrete argument ⋮ Periodic and almost periodic solutions of difference equations in metric spaces ⋮ Fixed-point theorems and difference equations with nonempty set of bounded solutions ⋮ A method of local linear approximation for the nonlinear discrete equations

Cites Work

• Necessary and sufficient conditions for invertibility of uniformly c- continuous functional-differential operators
• On the stability of analytic motions
• Exponential dichotomy for solutions of discrete systems
• Representation of the bounded solutions of discrete linear system
• Representation of the bounded solutions of discrete linear system
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Method of local linear approximation in the theory of bounded solutions of nonlinear difference equations