一维有界区域上双稳态方程多重正解的存在性

Existence of multiple positive solutions for bistable equations in one-dimensional bounded domains

研究了一维有界区域上双稳态反应扩散方程的正平衡解.构造了一些双稳态非线性项,使用相平面分析和常微分方程理论,证明了相应的方程多个正平衡解的存在性.

In this paper,we study the positive stationary solutions of the bistable reaction-diffusion equation in one-dimensional bounded domains.We construct some bistable nonlinear terms,and use phase plane analysis and the theory of ordinary differential equation to prove the existence of multiple positive stationary solutions of the corresponding equation.