方法运用极值原理、上下解方法、分歧理论、线性算子的扰动理论和分歧解的稳定性理论进行研究。
Methods the maximum principle, monotone method, bifurcation theory, the perturbation theorem for linear operators and the stability theorem for bifurcation solutions were used.
应用算子理论方法，给出了一个C -正则预解族的左乘积扰动定理。
By using the approach of basic operator theory, a left multiplicative perturbation theorem of Cregularized resolvent families is proved.
然后运用线性算子的扰动理论和分歧解的稳定性理论证明出共存解在适当条件下是稳定的；
Second, some results of local stability for the coexistence solutions are obtained by the perturbation theorem for linear operators and the stability theorem for bifurcation solutions.
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