Existence of multiple solutions for a class of second-order ordinary differential equations

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...

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Bibliographic Details
Main Authors: Xiao-Bao Shu, Yuan-Tong Xu
Format: Article
Language:English
Published: Texas State University 2004-11-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2004/137/abstr.html