%0 Journal Article
%T Existence of multiple solutions for a class of second-order ordinary differential equations
%A Xiao-Bao Shu
%A Yuan-Tong Xu
%J Electronic Journal of Differential Equations
%D 2004
%I Texas State University
%X By means of variational structure and $Z_2$ group index theory, we obtain multiple solutions for the second-order differential equation $$ frac{d}{dt}(p(t)frac{du}{dt})+q(t)u+f(t,u)=0 ,quad 0 less than t less than 1, $$ subject to one of the following two sets of boundary conditions: $$ u'(0) = u(1)+ u'(1)=0quadhbox{or}quad u(0)=u(1)=0,. $$
%K Variational structure
%K $Z_2$ group index theory
%K critical points
%K boundary value problems.
%U http://ejde.math.txstate.edu/Volumes/2004/137/abstr.html