Electronic Journal of Differential Equations,
Vol. 2013 (2013), No. 266, pp. 1-21.

Title: Symmetric positive solutions for $\phi$-Laplacian boundary-value
       problems with integral boundary conditions

Author: Wengui Yang (Sanmenxia Polytechnic, Sanmenxia, China)

Abstract:
 In this article, we study the existence, multiplicity,
 and nonexistence of symmetric positive solutions for a class of
 four-order integral boundary value problems with $\phi$-Laplacian operator.
 The arguments mainly rely on the Guo-Krasnosel'skii fixed point theorem
 of cone expansion and compression of norm type and Leggett-Williams
 fixed point theorem. Finally, some examples are presented to illustrate
 the main results.

Submitted June 17, 2013. Published November 30, 2013.
Math Subject Classifications: 34B15, 34B18.
Key Words: Boundary value problems; integral boundary conditions;
           symmetric positive solutions; \phi-Laplacian operator; 
           fixed point theorem.