Triple symmetric positive solutions for multipoint boundary-value problem with one-dimensional p-Laplacian

Authors:
Hanying Feng;Weigao Ge
Affiliations:
Department of Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang 050003, People's Republic of China and Department of Mathematics, Beijing Institute of Technology, Beijing 1000 ...;Department of Mathematics, Beijing Institute of Technology, Beijing 100081, People's Republic of China
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2008

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Abstract

In this paper, we consider the multipoint boundary value problem for one-dimensional p-Laplacian (@f"p(u^'(t)))^'+q(t)f(t,u(t),u^'(t))=0,t@?(0,1), subject to the boundary conditions: u(0)-@?i=1n@m"iu^'(@x"i)=0,u(1)+@?i=1n@m"iu^'(@h"i)=0, where @f"p(s)=|s|^p^-^2s,p1,@m"i0,0