Acta mathematica scientia,Series A

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Singular Perturbation of Boundary Value Problems for Vector
Second Order Nonlinear Integro-Differential Equations

Lin Surong
  

  1. Department of Computer, Fujian Broadcasting TV University, Fuzhou 350003
  • Received:2005-11-16 Revised:2006-10-08 Online:2007-12-25 Published:2007-12-25
  • Contact: Lin Surong

Abstract: The present paper covers the singularly perturbed boundary value problems for vector second order nonlinear integro-differential equations. Under suitable conditions, the existence of the solution is proved by the diagonalization method, the asymptotic expansion of the
solution is constructed, and its uniformly valid estimate of remainder term is given as well.

Key words: Vector integro-differential equation, Boundary value problem, Singular perturbation

CLC Number: 

  • 45J
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