تقرير
Rich dynamics in planar systems with heterogeneous nonnegative weights
| العنوان: | Rich dynamics in planar systems with heterogeneous nonnegative weights |
|---|---|
| المؤلفون: | López-Gómez, Julián, Muñoz-Hernández, Eduardo, Zanolin, Fabio |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Classical Analysis and ODEs, Mathematics - Dynamical Systems, 34B08, 34B24, 35C15 |
| الوصف: | This paper studies the global structure of the set of nodal solutions of a generalized Sturm--Liouville boundary value problem associated to the quasilinear equation $$ -(\phi(u'))'= \lambda u + a(t)g(u), \quad \lambda\in {\mathbb R}, $$ where $a(t)$ is non-negative with some positive humps separated away by intervals of degeneracy where $a\equiv 0$. When $\phi(s)=s$ this equation includes a generalized prototype of a classical model going back to Moore and Nehari, 1959. This is the first paper where the general case when $\lambda\in\mathbb{R}$ has been addressed when $a\gneq 0$. The semilinear case with $a\lneq 0$ has been recently treated by L\'{o}pez-G\'{o}mez and Rabinowitz. Comment: 66 pages, 9 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2207.14583 |
| رقم الأكسشن: | edsarx.2207.14583 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |