This article is cited in 3 papers

Necessary and Sufficient Conditions for the Lipschitzian Invertibility of the Nonlinear Differential Mapping $d/dt-f$ in the Spaces $L_p({\mathbb R},{\mathbb R})$, $1\le p\le\infty$

V. E. Slyusarchuk

Rovno State Technology University

Abstract: We obtain necessary and sufficient conditions for the Lipschitzian invertibility of the differential mapping $d/dt-f$, where $f\colon{\mathbb R}\to{\mathbb R}$ is a continuous mapping, in the spaces $L_p({\mathbb R},{\mathbb R})$, $1\le p\le\infty$.

UDC: 517.9

Received: 22.06.2000

DOI: 10.4213/mzm238

 English version: Mathematical Notes, 2003, 73:6, 843–854

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