Asymptotic solutions of singularly perturbed second-order differential equations and application to multi-point boundary value problems |
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| Authors: | Zengji Du Lingju Kong |
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| Affiliation: | 1. School of Mathematical Sciences, Xuzhou Normal University, Xuzhou, Jiangsu, 221116, People’s Republic of China;2. Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN 37403-2598, USA |
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| Abstract: | In this work, a singularly perturbed second-order ordinary differential equation is solved by applying a new Liouville–Green transform and the asymptotic solutions are obtained. As an application, we employ our results in discussing a second-order multi-point boundary value problem. |
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