Zhang Xiang. Singular Perturbation of lnitial-boundary Value Problems of Reaction Diffusion Equation with Delay[J]. Applied Mathematics and Mechanics, 1994, 15(3): 253-258.
Citation: Zhang Xiang. Singular Perturbation of lnitial-boundary Value Problems of Reaction Diffusion Equation with Delay[J]. Applied Mathematics and Mechanics, 1994, 15(3): 253-258.

Singular Perturbation of lnitial-boundary Value Problems of Reaction Diffusion Equation with Delay

  • Received Date: 1992-12-21
  • Publish Date: 1994-03-15
  • In this paper we consider the initial-boundary value problems for a class ofapplications, such as biomathematics and biochemistry.Applying the method ofcomposile expansion we construct the formally asymptotic solution of the problemdescribed. With the help of theory of upper and lower solutions we prove the uniformlyvalidity of the formal solution and the existence of solution of the original problem.
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  • [1]
    郑祖麻,泛函微分方程的发展和应用,数学进展.12(2)(1983),94-112.
    [2]
    莫嘉琪,A dass of singularly perturbed nonlinear reaction diffusion integral-differential equation,Proc,Intern,Conference on Integral Equations and Boundary Tralue Problems,World Scientific,Singapore(1990),153-160.
    [3]
    Mo Jiaqi(莫嘉琪),Singular perturbation for a class of nonlinear reaction diffusion systems,Sci.in China(S}r.A,32(11)(1989),1306-1315.
    [4]
    莫嘉琪,奇摄动非线性时滞反应扩散系统,现代数学和方学(MMM-IV),兰州大学出版社,兰州(1991),198-202.
    [5]
    杨年钧等,稼数学物理方程》,辽宁科学技术出版社,辽宁(1985).
    [6]
    Pao,C.V.,Coeaistence,and stability of a competition-diffusion system in population dynamics,J,Math.Anal.Anal.,83(1),(1981),54-76.
    [7]
    何猛省,时滞方程解的有界性和渐近性,数学学报,34(6)(1991),785-792.
    [8]
    林宗池,极限方程为椭圆一抛物钩四阶椭圆型方徨的奇摄动,应用数学和力学,12(1)(1991),69-78.
    [9]
    张祥,一类拟线性椭圆型方程Robin问题的奇滚动,数学物理学报,11(2)(1991),198-204.
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