Accession Number:

ADA272834

Title:

Classical and Generalized Solutions of Time-Dependent Linear Differential Algebraic Equations

Descriptive Note:

Technical rept.,

Corporate Author:

PITTSBURGH UNIV PA DEPT OF MATHEMATICS AND STATISTICS

Report Date:

1993-10-15

Pagination or Media Count:

41.0

Abstract:

A reduction procedure is developed for linear time-dependent differential algebraic equations DAEs that transforms their solutions into solutions of smaller systems of ordinary differential equations ODEs. The procedure applies to classical as well as distribution solutions. In the case of analytic coefficients the hypotheses required for the reduction not only are necessary for the validity of the existence and uniqueness results, but they even allow for the presence of singularities. Straightforward extensions including undetermined systems and systems with non-analytic coefficients are also discussed.

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE