次线性奇异三点边值问题的正解

Positive Solutions of Some Singular Sub-linear Three-point Boundary Value Problems

该文主要研究二阶次线性奇异三点边值问题的正解的存在性,利用上下解方法和比较定理给出了C[0,1]和C^1[0,1]正解存在的充分必要条件,其中的非线性项f(t,x)可以在x=0,t=0和t=1处奇异.

This paper investigates the existence of positive solutions for second-order singular sub-linear three-point boundary value problems. A necessary and sufficient condition for the existence of C[0, 1] as well as C^1[0, 1] positive solutions is given by constructing lower and upper solutions and with the comparison theorem. The nonlinearity f（t, x） may be singular at x, t=0 and/or t=1.