摘要
In this paper, we investigate the bifurcations of one class of steady-state reaction-diffusion equations of the form u~'+μμ-u~κ=0, subject to u(0)=u(π)=0, where p is a parameter, 4≤k∈Z^+. Using the singularity theory based on the Liapunov-Schmidt reduction, some satisfactory results are obtained.
In this paper, we investigate the bifurcations of one class of steady-state reaction-diffusion equations of the form u~'+μμ-u~κ=0, subject to u(0)=u(π)=0, where p is a parameter, 4≤k∈Z^+. Using the singularity theory based on the Liapunov-Schmidt reduction, some satisfactory results are obtained.
基金
the National Natural Science Foundation of China (No.19971057) and the Youth Science Foundation of Shanghai Municipal Commission
