梁建华,陈建立,段丽丽.形态学上一个非线性偏微分方程的正定性及渐近解(英文)[J].数学研究及应用,1991,11(2):255~260
形态学上一个非线性偏微分方程的正定性及渐近解(英文)
Definite Conditions and Asymptotic Solution of One Nonlinear Partiai Differential Equation in Morphogenesis
投稿时间:1989-11-02  
DOI:10.3770/j.issn:1000-341X.1991.02.023
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作者单位
梁建华 西安交通大学 
陈建立 西安交通大学 
段丽丽 西安交通大学 
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英文摘要:
      One reaction-diffusion equation φtx+εφtφxxxxx=γ(φx) has been presented in the study of Morphogenesis. In this paper, reasonable de-finite conditions of the equation are proposed and the asymptotic form of its solution is obtained by using perturbation method. So the existence of solution of this probiem is solved.
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