Solvability of infinite systems of differential equations of general order in the sequence space $bv_{\infty}$
محورهای موضوعی : Fixed point theoryM. 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
کلید واژه: Differential equation, measure of noncompactness, Meir-Keeler condensing operator, Green function, sequence space,
چکیده مقاله :
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.
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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