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2006.325: Differential algebraic equations with after-effect

2006.325: C. T. H. Baker, C. A. H. Paul and H. Tian (2002) Differential algebraic equations with after-effect. Journal of Computational and Applied Mathematics, 140 (1-2). pp. 63-80. ISSN 0377-0427

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DOI: 10.1016/S0377-0427(01)00600-8

Abstract

In this paper, we are concerned with the solution of delay differential algebraic equations. These are differential algebraic equations with after-effect, or constrained delay differential equations. The general semi-explicit form of the problem consists of a set of delay differential equations combined with a set of constraints that may involve retarded arguments. Even simply stated problems of this type can give rise to difficult analytical and numerical problems. The more tractable examples can be shown to be equivalent to systems of delay or neutral delay differential equations. Our purpose is to highlight some of the complexities and obstacles that can arise when solving these problems, and to indicate problems that require further research.

Item Type:Article
Uncontrolled Keywords:Delay differential algebraic equations; Delay and neutral delay differential equations
Subjects:MSC 2000 > 34 Ordinary differential equations
MSC 2000 > 65 Numerical analysis
MIMS number:2006.325
Deposited By:Miss Louise Stait
Deposited On:17 August 2006

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