DOAJ Open Access 2024

Periodic solutions of third order differential equations

Nabil Rezaiki Amel Boulfoul

Abstrak

In this paper, we study the existence of periodic solutions for the following piecewise third-order differential equation: $$ \dddot{x}+\dot{x}-\varepsilon\sum\limits_{i=1}^{2}c_i|x|^i=0, $$ with $\varepsilon$ a real parameter sufficiently small, $c_1$ and $c_2$ real numbers. By applying new results from the averaging theory for continuous differential systems, we prove the existence of at most one periodic solution for the differential equation. An example is given to illustrate the established result.

Topik & Kata Kunci

Probabilities. Mathematical statistics Instruments and machines

Penulis (2)

Nabil Rezaiki

Amel Boulfoul

Format Sitasi

APA MLA BibTeX

Rezaiki, N., Boulfoul, A. (2024). Periodic solutions of third order differential equations. https://doi.org/10.58205/jiamcs.v4i1.1823

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Informasi Jurnal

Tahun Terbit: 2024
Sumber Database: DOAJ
DOI: 10.58205/jiamcs.v4i1.1823
Akses: Open Access ✓