Solvability of infinite systems of differential equations of general order in the sequence space $bv_{\infty}$
الموضوعات :M. H. Saboori 1 , M. Hassani 2 , R. Allahyari 3
1 - Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran
2 - Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran
3 - Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran
الکلمات المفتاحية: Differential equation, measure of noncompactness, Meir-Keeler condensing operator, Green function, sequence space,
ملخص المقالة :
We introduce the Hausdorff measure of noncompactness in the sequence space $bv_{\infty}$ and investigate the existence of solution of infinite systems of differential equations with respect to Hausdorff measure of noncompactness. Finally, we present an example to defend of theorem of existential.
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