
Accession Number : ADA136324
Title : Structure and Stability of Finite Dimensional Approximations for Functional Differential Equations.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIVMADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : Salamon,D
PDF Url : ADA136324
Report Date : Oct 1983
Pagination or Media Count : 47
Abstract : This paper deals with the structural and stability properties of the averaging approximation scheme for linear retarded functional differential equations. Both in the discrete and in the continuoustime case the structure of the approximating systems is shown to be analogous to the structure of the underlying retarded equation. Moreover, it is shown that the approximating systems are exponentially stable in a uniform sense if the original system is asymptotically stable. (Author)
Descriptors : *Linear differential equations, *Approximation(Mathematics), Structural properties, Stability, Theorems, Operators(Mathematics), Matrices(Mathematics), Convergence, Retardation
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE