Application of Measure of Noncompactness to Infinite Systems of Differential Equations-Reference-Cited by-同舟云学术

Application of Measure of Noncompactness to Infinite Systems of Differential Equations

Published:2013-06-01 Issue:2 Volume:56 Page:388-394
ISSN:0008-4395
Container-title:Canadian Mathematical Bulletin
language:en
Short-container-title:Can. math. bull.

Author:

Mursaleen M.

Abstract

AbstractIn this paper we determine theHausdorff measure of noncompactness on the sequence space n(ϕ) ofW. L. C. Sargent. Further we apply the technique of measures of noncompactness to the theory of infinite systems of differential equations in the Banach sequence spaces n(ϕ) and m(ϕ). Our aim is to present some existence results for infinite systems of differential equations formulated with the help of measures of noncompactness.

Publisher

Canadian Mathematical Society

Subject

General Mathematics

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