Work

Solvability of Infinite Systems of Third Order Differential Equations in a Sequence Space $n ( \phi)$ via Measures of Non-Compactness

Year: 2025

Type: article

Abstract: This paper establishes the necessary conditions for the existence of $\omega$-periodic solutions in the sequence space $n(\phi)$ for an infinite system of third-order differential equations. The analysis utilizes the system's Green's function, the Meir-Keeler condensing operator, and measures of non-compactness. To illustrate our results, we provide relevant examples.

Source: Universal Journal of Mathematics and Applications

DOI: 10.32323/ujma.1592877

Authors: Pendo Malaki, Santosh Kumar, Mohammad Mursaleen

Institutions: University of Dar es Salaam, North Eastern Hill University, Aligarh Muslim University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4408676850

FWCI: 1.924

Cites: 22

Cited by: 1

Related to: 10