ON THE POSITIVE SOLUTIONS FOR THIRD ORDER BOUNDARY VALUE PROBLEM

Moustafa El-Shahed (Kingdom of Saudi Arabia)

Received February 6, 2007

References:

[1] D. Guo and V. Lakshmikantham, Nonlinear Problems in Abstract Cones, Academic Press, San Diego, 1988. [2] S. Li, Positive solutions of nonlinear singular third-order two-point boundary value problem, J. Math. Anal. Appl. 323 (2006), 413-425. [3] H. Sun and W. Wen, On the number of positive solutions for a nonlinear third order boundary value problem, Int. J. Difference Equations 1 (2006), 165-176. [4] H. Wang, On the existence of positive solutions for semilinear elliptic equations in the annulus, J. Diff. Eqs. 109 (1994), 1-7. [5] M. Zima, Positive Operators in Banach Spaces and their Applications, Wydawnictwo, Uniwersytetu Rzeszowskiego, 2005.

Keywords and phrases: third order, boundary-value problem, Krasnoselskii’s fixed-point theorem, Green’s function, positive solution.