非线性奇异离散半正Dirichlet边值问题正解的存在性

Existence Theory for Positive Solutions to Discrete Semipositone Dirichlet Boundary Value Problems with Singular Nonlinearities

主要利用上下解方法建立了奇异离散半正Dirichlet边值问题{△~2y(i-1)+μf(i,y(i)=0,i)∈{1,2...,T}y(0)=y(T+1)=0}正解的存在性,其中μ是常数,非线性项f(i,u)在u=0是奇异的.

In this paper,we establish the existence of positive solutions to the semiposi-tone discrete Dirichlet boundary value problem {△~2y(i-1)+μf(i,y(i)=0,i)∈{1,2...,T}y(0)=y(T+1)=0}where μ is a constant and our nonlinear term f(i,u) may be singular at u =0.