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

Journal of Linear and Topological Algebra

دوره 12، شماره 04، اسفند 2023، صفحه 235-242   

نوع مقاله: Review paper

شناسه دیجیتال (DOI): 10.30495/jlta.2023.1992240.1577

نویسندگان

M. H. Saboori؛ M. Hassani؛ R. Allahyari^*

Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran

چکیده

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.

کلیدواژه‌ها

Green function؛ differential equation؛ measure of noncompactness؛ Meir-Keeler condensing operator؛ sequence space

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