POSITIVE SOLUTIONS OF FOURTH-ORDER BOUNDARY VALUE PROBLEMS WITH PARAMETERS

Jianmin Guo (P. R. China) and Riquan Zhang (P. R. China)

Received February 1, 2008

References:

[1] Y. Li, Existence and multiplicity of positive solutions for fourth-order boundary value problems, Acta. Math. Appl. Sin. 26 (2003), 109-116 (in Chinese). [2] Y. Li, Positive solutions of fourth-order boundary value problems with two parameters, J. Math. Anal. Appl. 281 (2003), 477-484. [3] X. L. Liu and W. T. Li, Existence and multiplicity of solutions for fourth order boundary value problems with parameters, J. Math. Anal. Appl. 327 (2007), 362-375. [4] R. Ma and H. Wang, On the existence of positive solutions of fourth-order ordinary differential equations, Appl. Anal. 59 (1995), 225-231.

Keywords and phrases: positive solution, cone, fixed point index.