Global structure of one-sign solutions for a simply supported beam equation

[摘要] In this paper, we consider the nonlinear eigenvalue problem $$\begin{gathered} u''''= \lambda h(t)f(u),\quad 00$ for $s\neq0$, and $f_{0}=f_{\infty}=0$, $f_{0}=\lim_{|s|\rightarrow0}f(s)/s$, $f_{\infty}=\lim_{|s|\rightarrow\infty}f(s)/s$. We investigate the global structure of one-sign solutions by using bifurcation techniques.

[学科分类] 电力

[关键词] Connected component;Green function;One-sign solutions;Bifurcation;Simply supported beam