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JP Journal of Fixed Point Theory and Applications

JP Journal of Fixed Point Theory and Applications
Volume 2, Issue 1, Pages 61 - 67 (April 2007)

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.

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