摘要
本文考虑向量三阶半线性边值问题摄动解的存在性和渐近性。在适当的假设下,利用微分方程的特性和二阶微分不等式,得到了高阶渐近解。利用三阶微分不等式,证明了它的摄动解的存在性和高阶渐近解的误差估计。
In this paper, the existence and the asymptotic behavior of solution of vector third order semilinear value problem, have been considered Under the appropiate assumptions, using the behavior of vector differential equation, asymptotic solution of higher order approximation is obtained. Then, using the differential inequation, the existence of its solution and the limit of the higher order appoximate are proofed.
出处
《福建师范大学学报（自然科学版）》
CAS
CSCD
1991年第3期21-26,共6页
Journal of Fujian Normal University：Natural Science Edition
关键词
边值问题
摄动解
微分不等式
perturbation solution, asymptotic solution, differential inequation
