A numerical method for finding positive solution of logistic equation

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摘要

Using a numerical methods based on sub-super solution, we will show the existence of positive solution for the well known logistic equation −Δu = λ[g(x)u(x) − u(x)2] for x ∈ Ω, with Dirichlet boundary condition.

论文关键词：Logistic equation,Positive solutions,Sub- and super-solutions

论文评审过程：Available online 27 September 2006.

论文官网地址：https://doi.org/10.1016/j.amc.2006.07.136