تقرير
Atypical bifurcation for periodic solutions of $\phi$-Laplacian systems
| العنوان: | Atypical bifurcation for periodic solutions of $\phi$-Laplacian systems |
|---|---|
| المؤلفون: | Benevieri, Pierluigi, Feltrin, Guglielmo |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Classical Analysis and ODEs, 34B15, 34C23, 34C25, 47H11, 47J05 |
| الوصف: | In this paper, we study the $T$-periodic solutions of the parameter-dependent $\phi$-Laplacian equation \begin{equation*} (\phi(x'))'=F(\lambda,t,x,x'). \end{equation*} Based on the topological degree theory, we present some atypical bifurcation results in the sense of Prodi--Ambrosetti, i.e., bifurcation of $T$-periodic solutions from $\lambda=0$. Finally, we propose some applications to Li\'enard-type equations. Comment: 22 pages, 1 figure |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2406.00325 |
| رقم الأكسشن: | edsarx.2406.00325 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |