Conditions for the invertibility of the nonlinear difference operator $ (\mathscr Rx)(n)=H(x(n),x(n+1))$, $ n\in\mathbb Z$, in the space of bounded number sequences

DOI10.1070/SM2009V200N02ABEH003995zbMath1181.47033OpenAlexW2093913714MaRDI QIDQ3630568

V. Yu. Slyusarchuk

Publication date: 2 June 2009

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm2009v200n02abeh003995

zbMATH Keywords

inverse operatorsequence spacesdifference operatortelegraph equation

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Difference operators (39A70) Linear difference operators (47B39) Abstract inverse mapping and implicit function theorems involving nonlinear operators (47J07)

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