Singularly perturbed boundary value problems for a class of second order turning point on infinite interval |
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| Authors: | Hai-bo Lu Ming-kang Ni Li-meng Wu |
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| Institution: | 1. Department of Mathematics, East China Normal University, Shanghai, 200062, China
2. State Key Laboratory of Brain and Cognitive Sciences, 15, Datun Road, Chaoyang District, Beijing, China
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| Abstract: | This article solved the asymptotic solution of a singularly perturbed boundary value problem with second order turning point, encountered in the dissipative equilibrium vector field of the coupled convection disturbance kinetic equations under the constrained filed and the gravity. Using the matching of asymptotic expansions, the formal asymptotic solution is constructed. By using the theory of differential inequality the uniform validity of the asymptotic expansion for the solution is proved. |
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| Keywords: | singular perturbation asymptotic expansion turning point infinite interval |
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