Application of Measure of Noncompactness to Infinite Systems of Differential Equations

Canadian mathematical bulletin

M. Mursaleen¹ 

[1] Department of Mathematics, Aligarh Muslim University, Aligarh-202002, India

关键词: sequence spaces;    BK spaces;    measure of noncompactness;    infinite system of differential equations;   

DOI  :  10.4153/CMB-2011-170-7

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

In this paper we determine the Hausdorff measure of noncompactness onthe sequence space $n(phi)$ of W. L. C. Sargent. Further we applythe technique of measures of noncompactness to the theory of infinitesystems of differential equations in the Banach sequence spaces$n(phi)$ and $m(phi)$. Our aim is to present some existence resultsfor infinite systems of differential equations formulated with the helpof measures of noncompactness.

【 授权许可】

Unknown