Electronic Journal of Differential Equations,
Vol. 2004(2004), No. 137, pp. 1-14.
Title: Existence of multiple solutions for a class of second-order
ordinary differential equations
Authors: Xiao-Bao Shu (Sun Yat-Sen Univ. Guangzhou, China)
Yuan-Tong Xu (Sun Yat-Sen Univ. Guangzhou, China)
Abstract:
By means of variational structure and $Z_2$ group
index theory, we obtain multiple solutions for the second-order
differential equation
$$ \frac{d}{dt}(p(t)\frac{du}{dt})+q(t)u+f(t,u)=0 ,\quad 0