Characterization of the constant sign of a class of Periodic and Neumann Green’s functions via spectral theory
In this paper we characterize the regions of constant sign of the Green's fucntions related to operator $T_n[p,M]\,u(t)=u^{(n)}(t)+p\,u^{(n-2)}(t)+M\,u(t)$, with $n$ an even number, $n\ge 4$, and $p\le 0$, coupled to periodic or Neumann boundary conditions. The results generalize the situation...
| Autores: | , |
|---|---|
| Formato: | capítulo de livro |
| Fecha de publicación: | 2024 |
| País: | España |
| Recursos: | Universidad de Santiago de Compostela (USC) |
| Repositorio: | Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela |
| Idioma: | inglés |
| OAI Identifier: | oai:minerva.usc.gal:10347/44915 |
| Acesso em linha: | https://hdl.handle.net/10347/44915 |
| Access Level: | acceso abierto |
| Palavra-chave: | Spectral characterization Neumann Problem Periodic Problem Green's function 1202 Análisis y análisis funcional |
| Resumo: | In this paper we characterize the regions of constant sign of the Green's fucntions related to operator $T_n[p,M]\,u(t)=u^{(n)}(t)+p\,u^{(n-2)}(t)+M\,u(t)$, with $n$ an even number, $n\ge 4$, and $p\le 0$, coupled to periodic or Neumann boundary conditions. The results generalize the situation considered in \cite{CabSom_Eloe} for the particular case of $p=0$. |
|---|