This article concerns the existence and asymptotic behavior of solutions to a singularly perturbed second-order four-point boundary-value problem for nonlinear differential equations. Our analysis relies on the method of lower and upper solutions. We give accurate approximations of the solutions up to order .
Submitted January 5, 2010. Published February 7, 2011.
Math Subject Classifications: 34K10, 34K26.
Key Words: Singular perturbation; four point boundary value problem; lower and upper solutions.
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| Robert Vrabel |
Institute of Applied Informatics, Automation and Mathematics
Faculty of Materials Science and Technology
Hajdoczyho 1, 917 01 Trnava, Slovakia
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