A priori estimates for solutions to a four point boundary value problem for singularly perturbed semilinear differential equations
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 solution...
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| Format: | Article |
| Language: | English |
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Texas State University
2011-02-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2011/21/abstr.html |
| Summary: | 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 $O(epsilon)$. |
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| ISSN: | 1072-6691 |