Ramzi S. Alsaedi
We study the boundary-value problem
where and f is nonnegative continuous and non-decreasing with respect to the second variable. Under some assumptions on the nonlinearity f, we prove the existence of a positive solution for sufficiently small. Our approach is based on the Schauder fixed point theorem.
Submitted September 20, 2015. Published November 30, 2015.
Math Subject Classifications: 34B09, 34B15, 34B18, 34B27, 34B40.
Key Words: Boundary value problem; positive solution; fixed point; Green function.
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| Ramzi S. Alsaedi |
Department of Mathematics, Faculty of Sciences
King Abdulaziz University, P.O. Box 80203
Jeddah 21589, Saudi Arabia
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