| The Interior Layer Problem for the Strongly Nonlinear Singularly Perturbed System |
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| 引用本文： | HAN Xiang-lin(Department of Mathematics,Huzhou Teacher's College,Huzhou 313000,China). The Interior Layer Problem for the Strongly Nonlinear Singularly Perturbed System[J]. 数学季刊, 2004, 19(4) |
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| 作者姓名： | HAN Xiang-lin(Department of Mathematics Huzhou Teacher's College Huzhou 313000 China) |
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| 作者单位： | Department of Mathematics，Huzhou Teacher's College，Huzhou 313000，China |
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| 基金项目： | SupportedbytheScienceFoundationofZhejiangProvince(102009) |
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| 摘 要： | The nonlinear strongly singularly perturbed systemεyi" = fi(t, y,y'), a < t < b, i = 1, 2, …, n, yi(a,ε)-pily'i(a,ε) = Ai, yi(b,ε) pi2y'i(b,ε) = Biare considered. Under suitable conditions, using the theory of differential inequalities the existence and asymptotic behavior of interior solution for the problems are studied.
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The Interior Layer Problem for the Strongly Nonlinear Singularly Perturbed System |
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| HAN Xiang-lin. The Interior Layer Problem for the Strongly Nonlinear Singularly Perturbed System[J]. Chinese Quarterly Journal of Mathematics, 2004, 19(4) |
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| Authors: | HAN Xiang-lin |
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| Abstract: | |
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| Keywords: | strongly nonlinear system singular perturbation problem interior layer asymptotic behavior |
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