三阶非线性微分差分方程两点边值问题的奇摄动

Singular Perturbation for Two-Point Boundary Value Problems of Third Order Nonlinear Differential-Difference Equation

利用微分不等式技巧,研究了一类三阶非线性微分差分方程的两点边值问题的奇摄动.在上下解存在的条件下,建立了解的存在性与唯一性.结果表明:这种技巧为其它边值问题的研究提出了崭新的思路.

In this paper, singular perturbation for a class of Two-Point boundary value problems of third order nonlinear differential-difference equation was studied by means of differential inequality theories. Based on suit condition, the existence and unique of solutions was established. The result showed that is seems new to apply these technique to solving other boundary value problems.