| A Class of Shock Solutions for the Semilinear Singularly Perturbed Boundary Value Problem |
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| 作者姓名： | 王庚 |
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| 作者单位： | DepartmentofAppliedMathematics,NanjingUniversityofFinanceandEconomics,Nanjing210003,China |
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| 基金项目： | TheprojectofMinistryofEducationofChina(No .12 83B0 10 71) |
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| 摘 要： | The shock solution for the semilinear singularly perturbed two-point boundary value problem was studied. Under suitable conditions and using the theory of differential inequalities, the existence and asymptotic behavior of the solution for the original boundary value problems are discussed. The uniformly effective asymptotic expansion and estimation of solution u(x, ε) were obtained.
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| 关 键 词： | 冲击方案 半线性方程 边值问题 奇摄动 微分不等式 |
A Class of Shock Solutions for the Semilinear Singularly Perturbed Boundary Value Problem |
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| Wang Geng.A Class of Shock Solutions for the Semilinear Singularly Perturbed Boundary Value Problem[J].Journal of Southwest Jiaotong University,2004,12(2):190-192. |
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| Authors: | Wang Geng |
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| Institution: | Department of Applied Mathematics,Nanjing University of Finance and Economics,Nanjing 210003,China |
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| Abstract: | The shock solution for the semilinear singularly perturbed two-point boundary value problem was studied. Under suitable conditions and using the theory of differential inequalities, the existence and asymptotic behavior of the solution for the original boundary value problems are discussed. The uniformly effective asymptotic expansion and estimation of solution u(x,ε) were obtained. |
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| Keywords: | Shock solution Semilinear equation Boundary value problem Singular perturbation |
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