Solvability of infinite systems of differential equations of general order in the sequence space $bv_{\infty}$

Subject Areas : Fixed point theory

M. H.  Saboori ¹ (Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran)
M.  Hassani ² (Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran)
R.  Allahyari ³ (Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran)

Received: 2023-07-24 Accepted : 2023-12-05 Published : 2023-12-06

Keywords: Differential equation, measure of noncompactness, Meir-Keeler condensing operator, Green function, sequence space,

Abstract :

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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