Approximation structures and applications to evolution equations

Adrian Duma and Cristian Vladimirescu

Abstract and Applied Analysis, 2003, vol. 2003, 1-12

Abstract:

We discuss various properties of the nonlinear A -proper operators as well as a generalized Leray-Schauder principle. Also, a method of approximating arbitrary continuous operators by A -proper mappings is described. We construct, via appropriate Browder-Petryshyn approximation schemes, approximative solutions for linear evolution equations in Banach spaces.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:543897

DOI: 10.1155/S1085337503301010

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