Non-Degeneracy and Uniqueness of Periodic Solutions 
for Fifth-Order Non-Linear Differential Equations

Yafei Li

doi:https://doi.org/10.14445/22315373/IJMTT-V70I1P101

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 70 | Issue 1 | Year 2024 | Article Id. IJMTT-V70I1P101 | DOI : https://doi.org/10.14445/22315373/IJMTT-V70I1P101

Non-Degeneracy and Uniqueness of Periodic Solutions for Fifth-Order Non-Linear Differential Equations

Yafei Li

Received	Revised	Accepted	Published
20 Nov 2023	29 Dec 2023	13 Jan 2024	24 Jan 2024

Abstract

In this paper, the non-degeneracy of a class of fifth-order linear differential equations are investigated by Wirtinger inequality. In addition, the non-degenerate results are used to obtain the existence and uniqueness of periodic solutions for the fifth-order non-linear differential equations with super-linear terms.

Keywords

Existence and Uniqueness, Non-degeneracy, Periodic solution, Super-linear.

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Citation :

Yafei Li, "Non-Degeneracy and Uniqueness of Periodic Solutions for Fifth-Order Non-Linear Differential Equations," International Journal of Mathematics Trends and Technology (IJMTT), vol. 70, no. 1, pp. 1-7, 2024. Crossref, https://doi.org/10.14445/22315373/IJMTT-V70I1P101