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Positive solution of singularly perturbed Dirichlet problem with singularities |
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| Authors: | Li-hua Chen Jia-qi Mo |
| Affiliation: | 1. Department of Mathematics and Computer Science, Fuqing Branch of Fujian Normal University, Fuqing, 350300, China 2. Anhui Normal University, Wuhu, 241003, China 3. Faculty of Science, Huzhou Teacher College, Huzhou, 313000, China |
| Abstract: | A class of singularly perturbed boundary value problem with singularities is considered. Introducing the stretched variables, the boundary layer corrective terms near x = 0 and x = 1 are constructed. Under suitable conditions, by using the theory of differential inequalities the existence and asymptotic behavior of solution for boundary value problem are proved, uniformly valid asymptotic expansion of solution with boundary layers are obtained. |
| Keywords: | nonlinear singular equation singular perturbation boundary value problem |
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