In this paper, for a semi-linear parabolic partial differential equations with impulsive effects, the existence-comparison theorem and comparison principles are established using the method of upper and lower solution...In this paper, for a semi-linear parabolic partial differential equations with impulsive effects, the existence-comparison theorem and comparison principles are established using the method of upper and lower solutions. These results are applied to obtain the stability results of the steady-state solutions in a reaction-diffusion equations modelling two competing species with instantaneous stocking.展开更多
基金Supported by the National Natural Science Foundation of China(No.10071048).
文摘In this paper, for a semi-linear parabolic partial differential equations with impulsive effects, the existence-comparison theorem and comparison principles are established using the method of upper and lower solutions. These results are applied to obtain the stability results of the steady-state solutions in a reaction-diffusion equations modelling two competing species with instantaneous stocking.
