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两参数非局部非线性反应扩散Robin问题的渐近解

莫嘉琪

莫嘉琪. 两参数非局部非线性反应扩散Robin问题的渐近解[J]. 应用数学和力学, 2009, 30(8): 939-944. doi: 10.3879/j.issn.1000-0887.2009.08.006
引用本文: 莫嘉琪. 两参数非局部非线性反应扩散Robin问题的渐近解[J]. 应用数学和力学, 2009, 30(8): 939-944. doi: 10.3879/j.issn.1000-0887.2009.08.006
MO Jia-qi. Asymptotic Solution of Nonlocal Nonlinear Reaction Diffusion Robin Problems With Two Parameters[J]. Applied Mathematics and Mechanics, 2009, 30(8): 939-944. doi: 10.3879/j.issn.1000-0887.2009.08.006
Citation: MO Jia-qi. Asymptotic Solution of Nonlocal Nonlinear Reaction Diffusion Robin Problems With Two Parameters[J]. Applied Mathematics and Mechanics, 2009, 30(8): 939-944. doi: 10.3879/j.issn.1000-0887.2009.08.006

两参数非局部非线性反应扩散Robin问题的渐近解

doi: 10.3879/j.issn.1000-0887.2009.08.006
基金项目: 国家自然科学基金资助项目(40676016;40876010);中国科学院知识创新工程重要方向资助项目(KZCX2-YW-Q03-08);LASG国家重点实验室专项经费资助项目;上海市教育委员会E-研究院建设计划资助项目(E03004)
详细信息
    作者简介:

    莫嘉琪(1937- ),男,浙江德清人,教授(Tel:+86-553-3869642;E-mail:mojiaqi@mail.ahnu.edu.cn).

  • 中图分类号: O175.29

Asymptotic Solution of Nonlocal Nonlinear Reaction Diffusion Robin Problems With Two Parameters

  • 摘要: 研究了一类两参数非局部反应扩散奇摄动Robin问题.利用奇摄动方法,对该问题解的结构在两个小参数相互关联的情形下作了讨论.得到了该问题的渐近解.
  • [1] de Jager E M,JIANG Fu-ru.The Theory of Singular Perturbation[M].Amsterdam:North- Holland Publishing Co,1996.
    [2] Duehring D,HUANG Wen-zhang.Periodic traveling waves for diffusion equations with time delayed and non-local responding reaction[J].J Dyn Differ Eqns,2007,19(2):457-477. doi: 10.1007/s10884-006-9048-8
    [3] Guarguaglini F R,Natalini R.Fast reaction limit and large time behavior of solutions to a nonlinear model of sulphation phenomena[J].Commun Partial Differ Equations,2007,32(2):163-189. doi: 10.1080/03605300500361438
    [4] MO Jia-qi.Singular perturbation for a class of nonlinear reaction diffusion systems[J].Science in China,Ser A,1989,32(11):1306-1315.
    [5] MO Jia-qi.The singularly perturbed generalized Dirichlet problems for semilinear elliptic equation of higher order[J].Advances in Math,2006,35(1):75-81.
    [6] MO Jia-qi,LIN Wan-tao,WANG Hui.Variational iteration solving method of a sea-air oscillator model for the ENSO[J].Progress in Natural Sci,2007,17(2):230-232. doi: 10.1080/10020070612331343252
    [7] MO Jia-qi,LIN Wan-tao,WANG Hui.Variational iteration method for solving perturbed mechanism of western boundary undercurrents in the Pacific[J].Chin Phys,2007,16(4):951-964. doi: 10.1088/1009-1963/16/4/016
    [8] MO Jia-qi,LIN Wan-tao.Asymptotic solution of activator inhibitor systems for nonlinear reaction diffusion equations[J].J Sys Sci & Complexity,2008,20(1):119-128.
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出版历程
  • 收稿日期:  2009-02-12
  • 修回日期:  2009-06-14
  • 刊出日期:  2009-08-15

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