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Existence of solutions of infinite systems of differential equations of general order with boundary conditions in the spaces c0 and ℓ1 via the measure of noncompactness |
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| Abstract: | 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 c0 and ℓ1 with the help of a technique associated with measures of noncompactness. We also provide some illustrative examples in support of our existence theorems. |
| Keywords: | condensing operators Green's function existence theorems fixed points measure of noncompactness system of differential equations |