Department of Mathematics, Faculty of Basic Sciences, Mazandaran University, Babolsar, Iran.
*E-mail: afrouzi@umz.ac.ir
(Communicated by Hitoshi Kitata)
Using a numerical method, we will show the existence of multiple solutions for the well known logistic equation -∆u = λf(x)u(1 - u) for x ∈ Ω, with Dirichlet boundary condition.
Logistic equation, Positive solutions, Finite difference method