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

Cleon S. Barroso; Donal O'Regan; Ravi P. Agarwal

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

Cleon S. Barroso
, Donal O'Regan
, Ravi P. Agarwal

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

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 Φ-space together with a fixed point theorem for weakly sequentially continuous maps which are Φ-condensing and the other using the Banach contraction principle.

Original language	English
Pages (from-to)	199-203
Number of pages	5
Journal	Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis
Volume	14
Issue number	2
Publication status	Published - Apr 2007

Keywords

Differential equations in Banach spaces
Fixed point
Weak topology
Weakly sequentially continuous

Cite this

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title = "On solutions for differential equations in Banach spaces via a new measure of weak compactness",

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 Φ-space together with a fixed point theorem for weakly sequentially continuous maps which are Φ-condensing and the other using the Banach contraction principle.",

keywords = "Differential equations in Banach spaces, Fixed point, Weak topology, Weakly sequentially continuous",

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KW - Differential equations in Banach spaces

KW - Fixed point

KW - Weak topology

KW - Weakly sequentially continuous

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M3 - Article

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JO - Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis

JF - Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis

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

Abstract

Keywords

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