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Existence of solutions of infinite systems of differential equations of general order with boundary conditions in the spaces c(0) and l(1) via the measure of noncompactness
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Existence of solutions of infinite systems of differential equations of general order with boundary conditions in the spaces c(0) and l(1) via the measure of noncompactness

H. M. Srivastava, Anupam Das, Bipan Hazarika and S. A. Mohiuddine
Mathematical methods in the applied sciences, Vol.41(10), pp.3558-3569
15/07/2018

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
The aim of this paper is to obtain existence results for an infinite system of differential equations of order n with boundary conditions in the Banach spaces c(0) and l(1) with the help of a technique associated with measures of noncompactness. We also provide some illustrative examples in support of our existence theorems.

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