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

Journal of inequalities and applications

article

Dongliang Yan¹  Ruyun Ma¹  Xiaoxiao Su¹ 

[1] Department of Mathematics, Northwest Normal University

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

DOI  :  10.1186/s13660-020-02376-y

学科分类：电力

来源: SpringerOpen

【 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.

【 授权许可】

CC BY