Existence of Periodic Solutions for a Non-Autonomous Differential System of Even Dimension n

A. In this paper, we study a non-autonomous differential system of even dimension n and aim to determine the conditions that ensure the existence of periodic solutions.Using the classical another first-order averaging theory, we establish sufficient conditions for the existence of these solutions.

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Publication Details

Journal
Asia Pacific Journal of Mathematics
Published
2025-01-01
DOI
https://doi.org/10.28924/apjm/12-75
Primary Topic
Differential Equations and Numerical Methods
Type
article
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article

Existence of Periodic Solutions for a Non-Autonomous Differential System of Even Dimension n

Houdeifa Melki
Asia Pacific Journal of Mathematics
Differential Equations and Numerical Methods
article

Existence of Periodic Solutions for a Non-Autonomous Differential System of Even Dimension n

Houdeifa Melki
article en

Abstract

A. In this paper, we study a non-autonomous differential system of even dimension n and aim to determine the conditions that ensure the existence of periodic solutions.Using the classical another first-order averaging theory, we establish sufficient conditions for the existence of these solutions.

Asia Pacific Journal of MathematicsVol. 12
Reduced inequalities
Openalex Percentile: Top 67%
Differential Equations and Numerical Methods
DOIOpen Access PDFOpenAlex
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Existence of Periodic Solutions for a Non-Autonomous Differential System of Even Dimension n — Houdeifa Melki · Asia Pacific Journal of Mathematics (2025) | TGRS Research Map | TGRS