| Contrast structure for singular singularly perturbed boundary value problem |
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| 作者姓名： | 王爱峰 倪明康 |
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| 基金项目： | Project supported by the National Natural Science Foundation of China （No. 11071075） and the Natural Science Foundation of Shanghai （No. 10ZR1409200） |
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| 摘 要： | The step-type contrast structure for a singular singularly perturbed problem is shown. By use of the method of boundary function, the formal asymptotic expansion is constructed. At the same time, based on sewing orbit smooth, the existence of the step- type solution and the uniform validity of the asymptotic expansion are proved. Finally, an example is given to demonstrate the effectiveness of the present results.
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| 关 键 词： | contrast structure singular singularly perturbation asymptotic expansion boundary function |
Contrast structure for singular singularly perturbed boundary value problem |
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| Ai-feng Wang,Ming-kang Ni.Contrast structure for singular singularly perturbed boundary value problem[J].Applied Mathematics and Mechanics(English Edition),2014,35(5):655-666. |
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| Authors: | Ai-feng Wang Ming-kang Ni |
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| Institution: | 1. School of Mathematical Science, Huaiyin Normal University, Huaian, 223001, Jiangsu Province, P. R. China
2. Department of Mathematics, East China Normal University, Shanghai, 200062, P. R. China
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| Abstract: | The step-type contrast structure for a singular singularly perturbed problem is shown. By use of the method of boundary function, the formal asymptotic expansion is constructed. At the same time, based on sewing orbit smooth, the existence of the step-type solution and the uniform validity of the asymptotic expansion are proved. Finally, an example is given to demonstrate the effectiveness of the present results. |
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| Keywords: | contrast structure singular singularly perturbation asymptotic expansion boundary function |
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