奇异边值问题的Nagumo定理

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。

若干类型二阶微分方程边值问题的正解的存在性

利用微分不等式理论,分别研究了若干类型的二阶微分方程的Dirichlet和Robin边值问题的正解的存在性.

Singular Perturbations of Boundary Value Problems for a Class of Quasilinear Differential Equations

In this paper, the Nagumo theorem and the fixed-point theorem are used to prove the existence and the uniqueness and to estimate the asymptotic expansion of the shock solutions of the boundary value problems for a class of quasilinear differential equations, the asymptotic expansion of solution of any orders including boundary is obtained.