Entire Solutions Of The Fisher-KPP Equation With Robin Boundary Condition On Real Half Line

In the research field of reaction diffusion equations,there are a lot of studies on the entire solutions of the Cauchy problems for monostable and bistable equations in recent years.In this paper,we consider the entire solutions of the Fisher-KPP equation with the general Robin boundary condition ux=g(u)are studied by considering the real half axis problem.First,we illustrate the existence and stability of all stationary solutions by using the phase plane analysis method.Then,we construct four type of entire solutions for different types of stationary solutions,and prove that their ?-limit points are stable stationary solutions,?-limit points are unstable stationary solutions.