Application of Measure of Noncompactness to Infinite Systems of Differential Equations

被引：39
作者：
Mursaleen, M. [1 ]
机构：
[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India
来源：
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2013年 / 56卷 / 02期
关键词：
sequence spaces; BK spaces; measure of noncompactness; infinite system of differential equations; SPACES;
D O I：
10.4153/CMB-2011-170-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we determine the Hausdorff measure of noncompactness on the sequence space n(phi) of W. 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(phi) and m(phi). Our aim is to present some existence results for infinite systems of differential equations formulated with the help of measures of noncompactness.
引用
收藏
页码：388 / 394
页数：7
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