The paper deals with one important class of reaction-diffusion equations, u' + μ(u - uk) = 0(2 ≤ k ∈ Z+) with boundary value condition u(0) = u(π) = 0. Singularity theory based on the method of L-S (Liapunov-S...The paper deals with one important class of reaction-diffusion equations, u' + μ(u - uk) = 0(2 ≤ k ∈ Z+) with boundary value condition u(0) = u(π) = 0. Singularity theory based on the method of L-S (Liapunov-Schmidt) is applied to its bifurcation analysis. And the satisfactory results are obtained.展开更多
基金Supported by the National Natural Science Foundation (19971057) and by theYouth Science Foundation of Shanghai Municipal Commi
文摘The paper deals with one important class of reaction-diffusion equations, u' + μ(u - uk) = 0(2 ≤ k ∈ Z+) with boundary value condition u(0) = u(π) = 0. Singularity theory based on the method of L-S (Liapunov-Schmidt) is applied to its bifurcation analysis. And the satisfactory results are obtained.
