Communications in Mathematical Analysis
  • Year: 2006
  • Volume: 1
  • Issue: 2

A Computational Approach to Study a Logistic Equation

  • Author:
  • G. A. Afrouzi, S. Khademloo
  • Total Page Count: 10
  • Page Number: 75 to 84

Department of Mathematics, Faculty of Basic Sciences, Mazandaran University, Babolsar, Iran.

*E-mail: afrouzi@umz.ac.ir

(Communicated by Hitoshi Kitata)

Abstract

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.

Keywords

Logistic equation, Positive solutions, Finite difference method