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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中文摘要: |
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英文摘要: |
One reaction-diffusion equation φtx+εφtφxx-φxxx=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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