| SINGULARLY PERTURBED BOUNDARY VALUE PROBLEM FOR NONLINEAR SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS INVOLVING TWO SMALL PARAMETERS |
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| 引用本文： | 谢峰. SINGULARLY PERTURBED BOUNDARY VALUE PROBLEM FOR NONLINEAR SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS INVOLVING TWO SMALL PARAMETERS[J]. Annals of Differential Equations, 2002, 0(4) |
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| 作者姓名： | 谢峰 |
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| 作者单位： | Dept. of Math.，Shanghai Jiaotong University，Shanghai 200240 |
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| 基金项目： | The project is supported by The National Natural Science Foundation of China (No.10071048). |
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| 摘 要： | In this paper, a class of singular perturbation of boundary value problem for nonlinear second order ordinary differential equation involving two parameters is considered. For the three cases ε/μ→0(μ→0), μ2/ε→0(ε→0) and ε=μ2, uniformly valid asymptotic solutions are obtained using the method of two steps expansions and a fixed-point theorem.
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SINGULARLY PERTURBED BOUNDARY VALUEPROBLEM FOR NONLINEAR SECOND ORDERORDINARY DIFFERENTIAL EQUATIONSINVOLVING TWO SMALL PARAMETERS |
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| Xie Feng. SINGULARLY PERTURBED BOUNDARY VALUEPROBLEM FOR NONLINEAR SECOND ORDERORDINARY DIFFERENTIAL EQUATIONSINVOLVING TWO SMALL PARAMETERS[J]. 微分方程年刊(英文版), 2002, 0(4) |
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| Authors: | Xie Feng |
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| Abstract: | |
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| Keywords: | two parameters singular perturbation nonlinear differential equation boundary value problem |
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