Work

Solvability of an infinite system of $ n $-th order differential equations in a paranormed sequence space and its numerical solution

Year: 2025

Type: article

Abstract: In this paper, we introduce a ball measure of noncompactness in the Banach sequence space $ bv_q $ $ (1\leq q < \infty) $ containing the space $ l_q $. By applying the technique of measures of noncompactness and Meir–Keeler condensing mappings, we investigate the existence of solutions of an infinite system of differential equations of order $ n $ with boundary conditions. Some examples are provided to support our main results. A numerical spectral method based on Bernoulli polynomials is applied to find the approximate solution of an example.

Source: AIMS Mathematics

DOI: 10.3934/math.2025755

Authors: Hojjatollah Amiri Kayvanloo, Mohammad Mehrabinezhad, Mahnaz Khanehgir, Reza Allahyari, Mohammad Mursaleen

Institutions: Islamic Azad University, Mashhad, Aligarh Muslim University, China Medical University, China Medical University Hospital, Saveetha University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,200

OpenAlex ID: W4412915183