奇异边值问题的Nagumo定理

The Nagumo Theorem for Singular Boundary Value Problems

本文考虑奇异边值问题(SBVP)(a(t,x)x＇)＇=f(t,x,a(t,x)x＇),x(c)=λ,x(d)=μ,其中c,d,λ,μ∈R^1,c<d,a:[c,d]×R^1→R^1,a(t,x)≥0,f:[c,d]R^1×R^1→R^1满足一定的条件。

This paper focuses on the singular boundary value problem: x(c)=λ, x(d) =μ, where c, d, satisfy the some additional conditions. A comparison theorem-Nagumo theorem concerning the existence of solutions of the problem is given.