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

Pendo Malaki; Santosh Kumar; Mohammad Mursaleen

doi:10.32323/ujma.1592877

EN

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

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

References

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Details

Primary Language

English

Subjects

Pure Mathematics (Other)

Journal Section

Research Article

Authors

Pendo Malaki
0009-0000-9010-867X
Tanzania

Santosh Kumar
0000-0003-2121-6428
India

Mohammad Mursaleen ^*
0000-0003-4128-0427
India

Early Pub Date

March 11, 2025

Publication Date

March 25, 2025

Submission Date

November 28, 2024

Acceptance Date

March 6, 2025

Published in Issue

Year 2025 Volume: 8 Number: 1

DOI

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

IZ

https://izlik.org/JA76CB48EA

APA

Malaki, P., Kumar, S., & Mursaleen, M. (2025). Solvability of Infinite Systems of Third Order Differential Equations in a Sequence Space $n ( \phi)$ via Measures of Non-Compactness. Universal Journal of Mathematics and Applications, 8(1), 30-40. https://doi.org/10.32323/ujma.1592877

AMA

1.Malaki P, Kumar S, Mursaleen M. Solvability of Infinite Systems of Third Order Differential Equations in a Sequence Space $n ( \phi)$ via Measures of Non-Compactness. Univ. J. Math. Appl. 2025;8(1):30-40. doi:10.32323/ujma.1592877

Chicago

Malaki, Pendo, Santosh Kumar, and Mohammad Mursaleen. 2025. “Solvability of Infinite Systems of Third Order Differential Equations in a Sequence Space $n ( \phi)$ via Measures of Non-Compactness”. Universal Journal of Mathematics and Applications 8 (1): 30-40. https://doi.org/10.32323/ujma.1592877.

EndNote

Malaki P, Kumar S, Mursaleen M (March 1, 2025) Solvability of Infinite Systems of Third Order Differential Equations in a Sequence Space $n ( \phi)$ via Measures of Non-Compactness. Universal Journal of Mathematics and Applications 8 1 30–40.

IEEE

[1]P. Malaki, S. Kumar, and M. Mursaleen, “Solvability of Infinite Systems of Third Order Differential Equations in a Sequence Space $n ( \phi)$ via Measures of Non-Compactness”, Univ. J. Math. Appl., vol. 8, no. 1, pp. 30–40, Mar. 2025, doi: 10.32323/ujma.1592877.

ISNAD

Malaki, Pendo - Kumar, Santosh - Mursaleen, Mohammad. “Solvability of Infinite Systems of Third Order Differential Equations in a Sequence Space $n ( \phi)$ via Measures of Non-Compactness”. Universal Journal of Mathematics and Applications 8/1 (March 1, 2025): 30-40. https://doi.org/10.32323/ujma.1592877.

JAMA

1.Malaki P, Kumar S, Mursaleen M. Solvability of Infinite Systems of Third Order Differential Equations in a Sequence Space $n ( \phi)$ via Measures of Non-Compactness. Univ. J. Math. Appl. 2025;8:30–40.

MLA

Malaki, Pendo, et al. “Solvability of Infinite Systems of Third Order Differential Equations in a Sequence Space $n ( \phi)$ via Measures of Non-Compactness”. Universal Journal of Mathematics and Applications, vol. 8, no. 1, Mar. 2025, pp. 30-40, doi:10.32323/ujma.1592877.

Vancouver

1.Pendo Malaki, Santosh Kumar, Mohammad Mursaleen. Solvability of Infinite Systems of Third Order Differential Equations in a Sequence Space $n ( \phi)$ via Measures of Non-Compactness. Univ. J. Math. Appl. 2025 Mar. 1;8(1):30-4. doi:10.32323/ujma.1592877