A necessary and sufficient condition for positive solutions for fourth-order multi-point boundary value problems with p-Laplacian

作者：Zhang Xinguang^*; Liu Lishan

来源：Nonlinear Analysis-Theory Methods & Applications, 2008, 68(10): 3127-3137.

DOI：10.1016/j.na.2007.03.006

• necessary and sufficient conditions
• p-Laplacian
• pseudo-C-3 vertical bar 0, 1 vertical bar positive solutions
• cone

In this paper, we consider the existence of positive solutions for a class of singular fourth-order p-Laplacian equation with multipoint boundary conditions. By means of a monotone iterative technique, a necessary and sufficient condition for tile existence of a pseudo-C-3 vertical bar 0, 1 vertical bar positive solution is established. Also, the existence and uniqueness of the pseudo-C-3 vertical bar 0, 1 vertical bar positive solution, the iterative sequence of the solution and an error estimation for pseudo-C-3 vertical bar 0, 1 vertical bar positive solution are obtained.

• 出版日期2008-5-15
• 单位烟台大学; 曲阜师范大学