A Note on bifurcations of u ';';+mu(u-u(k)) = 0(4 <= k epsilon Z(+))

作者：Li CP^*

来源：Applied Mathematics and Mechanics (English Edition ), 2000, 21(3): 265-274.

• Liapunov-Schmidt reduction
• singularity theory
• bifurcation

Bifurcations of one kind of reaction-diffusion equations, u" + mu ( u - u(k)) = 0(mu is a parameter, 4 less than or equal to k epsilon Z(+)), with boundary value condition u(0) = u(rr) = 0 are discussed. By means of singularity theory based on the method of Liapunov-Schmidt reduction, satisfactory results can be acquired.

• 出版日期2000-3
• 单位上海大学