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

Year 2025, Volume: 8 Issue: 1, 30 - 40, 25.03.2025

Pendo Malaki , Santosh Kumar , Mohammad Mursaleen

https://doi.org/10.32323/ujma.1592877

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.

Keywords

Darbo's fixed point theorem, Green's function, Infinite system of third order differential equation, Measures of non-compactness, Meir-Keeler condensing operator

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