TRIPLE POSITIVE PSEUDO-SYMMETRIC SOLUTIONS TO A THREE-POINT SECOND-ORDER INTEGRODIFFERENTIAL BOUNDARY VALUE PROBLEM WITH p-LAPLACIAN

Yang Liu (P. R. China), Chuanzhi Bai (P. R. China), Dapeng Xie (P. R. China) and Chunli Wang (P. R. China)

Received August 18, 2007

References:

[1] B. Ahmad and Juan J. Nieto, The monotone iterative technique for three-point second-order integrodifferential boundary value problems with p-Laplacian, Bound. Value Probl., Vol. 2007, Article ID 57481, 9 pp., 2007. doi: 10.1155/2007/57481. [2] R. Avery and J. Henderson, Existence of three positive pseudo-symmetric solutions for a one-dimensional p-Laplacian, J. Math. Anal. Appl. 277 (2003), 395-404. [3] R. Avery and A. Peterson, Three positive fixed points of nonlinear operators on ordered Banach spaces, Comput. Math. Appl. 42 (2001), 313-322. [4] Y. Guo and W. Ge, Three positive solutions for one-dimensional p-Laplacian,J. Math. Anal. Appl. 286 (2003), 491-508. [5] X. He and W. Ge, Twin positive solutions for one-dimensional p-Laplacian boundary value problem, Nonlinear Anal. 56 (2004), 975-984. [6] J. Li and J. Shen, Existence of three positive solutions for boundary value problem with p-Laplacian, J. Math. Anal. Appl. 311 (2005), 457-465. [7] Bing Liu, Positive solutions of three-point boundary value problems for the one-dimensional p-Laplacian with infinitely many singularities, Appl. Math. Leet. 17 (2004), 655-661.

Keywords and phrases: fixed point theorem, positive pseudo-symmetric solutions, p-Laplacian, cone.