Exponentially dichotomous difference equations with non-Lipschitz perturbations

DOI10.1007/S11072-012-0178-0zbMath1334.39035OpenAlexW1973530456MaRDI QIDQ275517

V. Yu. Slyusarchuk

Publication date: 26 April 2016

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

Full work available at URL: https://doi.org/10.1007/s11072-012-0178-0

Mathematics Subject Classification ID

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

Related Items (9)

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 ⋮ Solvability of difference equations with nonuniformly contracting operators in the space of two-sided sequences ⋮ Representation of bounded solutions of linear discrete equations ⋮ Exponentially dichotomous difference equations with piecewise constant operator coefficients ⋮ Nonlinear difference equations in the spaces of bounded two-sided sequences ⋮ Necessary and sufficient conditions for the invertibility of nonlinear differentiable maps ⋮ Necessary and sufficient conditions for the invertibility of piecewise-autonomous difference operators in the space of bounded two-sided sequences ⋮ Fixed-point theorems and difference equations with nonempty set of bounded solutions

Cites Work

• Geometric theory of semilinear parabolic equations
• Exponential dichotomies and transversal homoclinic points
• Dichotomies for linear difference equations
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