Title
Symmetric positive solutions of boundary value problems with integral boundary conditions.
Abstract
Under conditions weaker than those used by Ma, we establish various results on the existence and nonexistence of symmetric positive solutions to fourth-order boundary value problems with integral boundary conditions. The arguments are based upon a specially constructed cone and the fixed point theory in a cone. Our results improve and extend that obtained in [H. Ma, Symmetric positive solutions for nonlocal boundary value problems of fourth order, Nonlinear Anal. 68 (2008) 645–651]. We illustrate our results by one example, which cannot be handled using the existing results.
Year
DOI
Venue
2012
10.1016/j.amc.2012.09.037
Applied Mathematics and Computation
Keywords
Field
DocType
Boundary value problem,Integral boundary conditions,Symmetric positive solution,Fixed point theorem,Existence
Boundary value problem,Robin boundary condition,Mathematical optimization,Nonlinear system,Mathematical analysis,Free boundary problem,Singular boundary method,Neumann boundary condition,Mathematics,Fixed-point theorem,Mixed boundary condition
Journal
Volume
Issue
ISSN
219
8
0096-3003
Citations 
PageRank 
References 
1
0.63
14
Authors
2
Name
Order
Citations
PageRank
Xuemei Zhang111.30
Weigao Ge215846.20