| 具有边界摄动的非线性非局部反应扩散方程的奇摄动问题 |
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| 引用本文： | 莫嘉琪. 具有边界摄动的非线性非局部反应扩散方程的奇摄动问题[J]. 东北数学, 2006, 0(2) |
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| 作者姓名： | 莫嘉琪 |
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| 作者单位： | Department of |
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| 基金项目： | 国家自然科学基金;国家重点基础研究发展计划(973计划);中国科学院基金 |
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| 摘 要： | A class of nonlinear nonlocal singularly perturbed Robin initial boundary value problems for reaction diffusion equations with boundary perturbation is considered. Under suitable conditions, firstly, the outer solution of the original problem is obtained; secondly, by using the stretched variable, the composing expansion method and the expanding theory of power series, the initial layer is constructed; and finally, by using the theory of differential inequalities the asymptotic behavior of solutions for initial boundary value problems is studied, and including some relational inequalities the existence and uniqueness of solutions for the original problem and the uniformly valid asymptotic estimation are discussed.
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The Nonlinear Nonlocal Singularly Perturbed Problems for Reaction Diffusion Equations with Boundary Perturbation |
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| MO Jia-qi. The Nonlinear Nonlocal Singularly Perturbed Problems for Reaction Diffusion Equations with Boundary Perturbation[J]. Northeastern Mathematical Journal, 2006, 0(2) |
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| Authors: | MO Jia-qi |
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| Abstract: | A class of nonlinear nonlocal singularly perturbed Robin initial boundary value problems for reaction diffusion equations with boundary perturbation is considered. Under suitable conditions, firstly, the outer solution of the original problem is obtained; secondly, by using the stretched variable, the composing expansion method and the expanding theory of power series, the initial layer is constructed; and finally, by using the theory of differential inequalities the asymptotic behavior of solutions for initial boundary value problems is studied, and including some relational inequalities the existence and uniqueness of solutions for the original problem and the uniformly valid asymptotic estimation are discussed. |
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| Keywords: | nonlinear reaction diffusion singular perturbation |
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