On solutions for differential equations in Banach spaces via a new measure of weak compactness

Donal O'Regan

On solutions for differential equations in Banach spaces via a new measure of weak compactness

Donal O'Regan

Mathematics

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Abstract

We establish the existence of solutions for a differential equation in Banach spaces. Our analysis relies on two approaches, one using the notion of phi-space together with a fixed point theorem for weakly sequentially continuous maps which are phi-condensing and the other using the Banach contraction principle.

Original language	English (Ireland)
Number of pages	5
Journal	DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS
Volume	14
Publication status	Published - 1 Apr 2007

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Barroso, CS,O'Regan, D,Agarwal, RP

Cite this

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On solutions for differential equations in Banach spaces via a new measure of weak compactness

Abstract

Authors (Note for portal: view the doc link for the full list of authors)

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