Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (2): 456-464.

• Articles • Previous Articles     Next Articles

Existence and Uniqueness of Numerical Methods and Their Newton-Iterative Solutions for Delay-Integro-Differential Equations on Banach Spaces

 ZHANG Cheng-Jian, LU Peng   

  1. School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074
  • Received:2008-06-10 Revised:2009-08-19 Online:2010-04-25 Published:2010-04-25
  • Supported by:

    国家自然科学基金(10871078)资助.

Abstract:

This paper analyzes the unique solvability of the extended general linear methods for a class of  delay-integro-differential equations on Banach spaces. The criteria for existence and uniqueness of the methods' solutions are derived. Moreover, the properties of Newton iterative solutions are concerned. The obtained results are applicable to the extended Runge-Kutta methods, the extended linear multistep methods and other some methods.

Key words: Delay-integro-differential equations, Existence and uniqueness of the methods solutions, Numerical methods

CLC Number: 

  • 65L20
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