Solvability of the infinite systems of nonlinear third-order differential equations in the weighted sequence space ${\bf m_\omega(\Delta_{\mathfrak{v}}^{\varsigma}‎, ‎\psi,q)}$

Journal of Linear and Topological Algebra

دوره 12، شماره 01، خرداد 2023، صفحه 77-89   

نوع مقاله: Research Paper

شناسه دیجیتال (DOI): 10.30495/jlta.2023.1980047.1539

نویسندگان

M. Khanehgir^* ؛ H. Amiri Kayvanloo؛ R. Allahyari؛ M. Mehrabinezhad

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

چکیده

‎In this work‎, ‎we first introduce the concept of weighted sequence space $m_\omega(\Delta_{\mathfrak{v}}^{\varsigma}‎, ‎\psi,q)$‎. ‎Then‎, ‎we construct a Hausdorff measure of noncompactness on this sequence space‎. ‎Furthermore‎, ‎by employing this measure of noncompactness we discuss the solvability of an infinite system of nonlinear third-order differential equations with initial conditions in the weighted sequence space $m_\omega(\Delta_{\mathfrak{v}}^{\varsigma}‎, ‎\psi,q)$‎. ‎Eventually‎, ‎we demonstrate an example to show the usefulness of the obtained result‎.

کلیدواژه‌ها

Infinite system of third-order boundary value problem؛ measure of noncompactness؛ Meir-Keeler condensing operator؛ weighted sequence space

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