Nonlinear difference equations in the spaces of bounded two-sided sequences

DOI10.1007/s10958-013-1539-7zbMath1305.39006OpenAlexW2000950376MaRDI QIDQ461329

V. Yu. Slyusarchuk

Publication date: 10 October 2014

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-013-1539-7

zbMATH Keywords

exponential dichotomydifference equationadmissibilitysequences of Banach spaces

Mathematics Subject Classification ID

Additive difference equations (39A10)

Related Items (4)

Conditions of solvability of functional equations with differentiable \(\lambda\)-injective operator ⋮ Solvability of difference equations with nonuniformly contracting operators in the space of two-sided sequences ⋮ Representation of bounded solutions of linear discrete equations ⋮ Necessary and sufficient conditions for the invertibility of nonlinear differentiable maps

Cites Work

• Exponentially dichotomous difference equations with non-Lipschitz perturbations
• Necessary and sufficient conditions for invertibility of uniformly c- continuous functional-differential operators
• Method of local linear approximation of nonlinear differential operators by weakly regular operators
• Bounded and periodic solutions of nonlinear functional differential equations
• The method of local linear approximation in the theory of nonlinear functional-differential equations
• Representation of the bounded solutions of discrete linear system
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