奇摄动三阶非线性边值问题

Singularly Perturbed Third Order Nonlinear Boundary Value Problems

利用微分不等式技巧和Volterra型积分算子，研究了三阶非线性奇摄动边值问题解的存在性、唯一性及渐近估计．

This article deals with the existence, uniqueness and asymptotic estimates of the solutions of the singularly perturbed boundary value problems for a class of the third order nonlinear differentialequation: , satisfying the condition g (x'(0), x'(0) )=0, x(1)=A, x'(1)=B by means of differential inequality and Volterra operator.