On the asymptotic solutions of boundary value problems for a class of systems of nonlinear differential equations (I)

被引：1

作者：

Jiang Fu-ru

机构：

[1] Shanghai University,Shanghai Institute of Applied Mathematics and Mechanics

来源：

Applied Mathematics and Mechanics | 2001年 / 22卷 / 3期

关键词：

system of nonlinear differential equations; boundary value problems; asymptotic solution; O302;

D O I：

10.1007/BF02437966

中图分类号：

学科分类号：

摘要：

A new method is applied to study the asymptotic behavior of solutions of boundary 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<ε≪1). The asymptotic expansions of solutions are constructed, the remainders are estimated. The former works are improved and generalized.

引用

页码：282 / 293

页数：11

共 11 条

[1]

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[2]

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[3]

Dorr F W(1989)Asymptotic analysis of model problems for a coupled systems[J] Nonlinear Anal 13 1013-1024

[4]

Parter S V(1991)Refined approximations of the solutions of a coupled system with turning points[J] J Differential Equations 92 125-144

[5]

Shampine L F(1981)On the boundary layer method[J] Applied Mathematics and Mechanics 2 505-518

[6]

Howes F A(1987)On the singular perturbations of nonlinear boundary value problems for ordinary differential equations[J] Scientia Sinica 30 588-600

[7]

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