Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (3): 727-737.

• Articles • Previous Articles     Next Articles

The Singular Perturbation of Boundary Value Problem on Infinite Interval for a Class Nonlinear Vector Differential Equation

 LIN Su-Rong   

  1. Department of Computer, Fujian Radio and TV University, Fuzhou |350003
  • Received:2012-08-17 Revised:2013-12-15 Online:2014-06-25 Published:2014-06-25
  • Supported by:

    福建省教育厅科技项目(JA11288)资助

Abstract:

The paper discuss the singular perturbation of boundary value problem on infinite interval for a class nonlinear vector differential equation. Although, the boundary problem on the finite interval had been treated extensiverly, but on the infinite interval it has not been studied using the diagonalization method. Under appropriate assumptions, we use new method to prove the existence of solution and the uniformly valid asymptotice expansion of arbitrary order and the error
estimation are given as well.

Key words: Infinite interval, Boundary value problem, Singular perturbation, Diagonalized technique

CLC Number: 

  • 34B15
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