摘要
应用Liapunov-Schmidt方法研究了一类生物学中的非线性反应扩散方程,在分歧点附近,得到了从平凡解分歧出来的非平凡解的近似解析表达式,并与数值解作了比较,结果表明方法是正确的。
Using the Liapunov-Schmidt reduction, we investigate the bifurcation of a class of nonlinear reaction-diffusion equations in developmental biology. Near the bifurcation point we obtain nontrivial solution branches bifurcated from the trivial solution. Approximate analytical expressions of the nontrivial solutions are given to compare with the numerical solutions of the nonlinear problem.
出处
《上海师范大学学报（自然科学版）》
2004年第2期7-12,共6页
Journal of Shanghai Normal University(Natural Sciences)
基金
Supported by the Special Funds for Major Specialities of Shanghai Education Committee(No.00JC14057)
Shanghai Development Foundation for Science and Technology(No.03QA14036).
