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30 June 2003 Approximation structures and applications to evolution equations
Adrian Duma, Cristian Vladimirescu
Abstr. Appl. Anal. 2003(12): 685-696 (30 June 2003). DOI: 10.1155/S1085337503301010


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.


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Adrian Duma. Cristian Vladimirescu. "Approximation structures and applications to evolution equations." Abstr. Appl. Anal. 2003 (12) 685 - 696, 30 June 2003.


Published: 30 June 2003
First available in Project Euclid: 3 July 2003

zbMATH: 1089.47060
MathSciNet: MR1995483
Digital Object Identifier: 10.1155/S1085337503301010

Primary: 35F10 , 47H09
Secondary: 47H11

Rights: Copyright © 2003 Hindawi

Vol.2003 • No. 12 • 30 June 2003
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