摘要
在一定条件下,研究了一类奇异摄动的三阶非线性微分方程的两点无穷边值问题解的高阶渐近展开,并利用微分不等式理论,证明了解的存在性与渐近估计.
Under given conditions, the higher-order asymptotic expansion of solution to infinite two-point boundary value problem for singularly perturbed third-order nonlinear differential equation is studyed, the theory of differential inequalities is used to prove the existence of solution and its asymptotic estimates.
出处
《福建师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2013年第2期6-10,15,共6页
Journal of Fujian Normal University：Natural Science Edition
基金
国家自然科学基金资助项目(11201072)
关键词
三阶非线性微分方程
高阶渐近展开
奇异摄动
解的存在性
无穷边值问题
third-order nonlinear differential equation
higher-order asymptotic expansion
singular perturbation
existence of solution
infinite boundary value problem
