Necessary and sufficient conditions for the Lipschitzian invertibility of nonlinear difference operators in the spaces \(\ell_p (\mathbb{Z},\mathbb{R})\) with \(1\leq p\leq\infty\)

DOI10.1007/BF02674563zbMath0985.47052OpenAlexW1967835435MaRDI QIDQ5942001

V. Yu. Slyusarchuk

Publication date: 21 May 2002

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

Full work available at URL: https://doi.org/10.1007/bf02674563

zbMATH Keywords

difference equationdifference mapinverse mapLipschitzian invertibilitynonlinear difference operators

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Difference operators (39A70) General theory of difference equations (39A05)

Related Items (2)

Nonlinear autonomous difference operators in the space of bounded sequences that are \(C^1\)-diffeomorphisms ⋮ Fixed-point theorems and difference equations with nonempty set of bounded solutions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dichotomies for linear difference equations
• 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

This page was built for publication: Necessary and sufficient conditions for the Lipschitzian invertibility of nonlinear difference operators in the spaces \(\ell_p (\mathbb{Z},\mathbb{R})\) with \(1\leq p\leq\infty\)