Necessary and sufficient conditions for the Lipschitzian invertibility of nonlinear difference operators in the spaces \(\ell_p (\mathbb{Z},\mathbb{R})\) with \(1\leq p\leq\infty\)
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Publication:5942001
DOI10.1007/BF02674563zbMath0985.47052OpenAlexW1967835435MaRDI QIDQ5942001
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
difference equationdifference mapinverse mapLipschitzian invertibilitynonlinear difference operators
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
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- Dichotomies for linear difference equations
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- 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
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