In this paper concerns the third-order boundary-value problem
By placing certain restrictions on the nonlinear term f, we prove the existence of at least one solution to the boundary-value problem with the use of lower and upper solution method and of Schauder fixed-point theorem. The construction of lower or upper solutions is also presented.
Submitted September 21, 2007. Published February 22, 2008.
Math Subject Classifications: 34B15.
Key Words: Third-order boundary-value problem; lower and upper solutions; fixed-point theorem.
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| Zhanbing Bai |
Institute of Mathematics
Shandong University of Science and Technology
Qingdao 266510, China
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