三阶非线性边值问题的奇摄动(英)

Singular Perturbations for Third Order Nonlinea Boundary Value Problems

本文利用Volterra型积分算子和微分不等式技巧给出了一类三阶非线性微分方程奇摄动边值问题：εX＝f（t，x，x，ε，x（0）＝A，g（x'（0），（0），ε）＝0，h（x（1），x（1），ε）＝0解的存在性．唯一性及渐近估计．

This article shows the existence. uniqueness. and asymptotic cstinlates of solLltions of singularly perturbed boundary value problems for a class of third order nonlinear diffcrellLial ecluatlonsεx' =f(t,x .x',ε),x(0) = A .g(X' (0),x'(0) .ε) = 0 .h (x (1). ε) = 0, by making use of Volterra type integral operator and differential inequality technique.