| 混合摄动非线性系统解的渐近性态 |
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| 引用本文： | 石启宏,王术.混合摄动非线性系统解的渐近性态[J].信阳师范学院学报(自然科学版),2010,23(2). |
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| 作者姓名： | 石启宏 王术 |
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| 作者单位： | 北京工业大学,应用数理学院,北京,100124 |
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| 基金项目： | 国家自然科学基金，北京市自然科学基金，北京市属高校人才强教深化计划学术创新人才，北京市教委自然科学基金，北京工业大学研究生科技基金资助 |
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| 摘 要： | 研究一类具有摄动初-边值的非线性反应扩散系统的奇摄动问题.在适当的条件下,通过构造近似解以及层校正项,利用上下解方法和微分不等式理论得到了解的渐近行为.
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| 关 键 词： | 摄动边界 反应扩散方程组 奇摄动 上下解 |
Asymptotic Behavior of Solution for the Nonlinear System with Multi-perturbation |
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| SHI Qi-hong,WANG Shu.Asymptotic Behavior of Solution for the Nonlinear System with Multi-perturbation[J].Journal of Xinyang Teachers College(Natural Science Edition),2010,23(2). |
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| Authors: | SHI Qi-hong WANG Shu |
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| Institution: | SHI Qi-hong*,WANG Shu(College of Applied Sciences,Beijing University of Technology,Beijing 100124,China) |
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| Abstract: | This paper deals with nonlinear singularly perturbed problem for a class of reaction diffusion equations with perturbed boundary condition and initial value.Under suitable hypotheses,by using the upper and lower solutions and theory of differential inequalities,the asymptotic behavior is obtained by constructing approximate solution and layer corrective terms. |
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| Keywords: | perturbed boundary reaction diffusion equations singular perturbation upper and lower solutions |
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