应用数学和力学2001,Vol.22Issue(3):239-249,11.
关于一类非线性微分方程组的边值
问题的渐近解(Ⅰ)
On the Asymptotic Solutions of Boundary Value Problems for a Class of Systems of Nonlinear
Differential Equations(Ⅰ)
摘要
Abstract
A new method is applied to study the asymptotic behavior of solutions of boundnary value problems for a class of systems of nonlinear differential equations
u″=v,εv″+f(x,u,u′)v′-g(x,u,u′)v=0 (0<ε1).
The asymptotic expansions of solutions are constructed, the remainders are estimated. The former works are improved and generalized.关键词
非线性微分方程组/边值问题/渐近解分类
数理科学引用本文复制引用
江福汝..关于一类非线性微分方程组的边值
问题的渐近解(Ⅰ)[J].应用数学和力学,2001,22(3):239-249,11.