Accession Number : ADA292285
Title : Discontinuous Solutions Of Semilinear Differential-Algebraic Equations Part 2: Rho-Consistency.
Descriptive Note : Technical rept.,
Corporate Author : PITTSBURGH UNIV PA DEPT OF MATHEMATICS AND STATISTICS
Personal Author(s) : Rabier, Patrick J. ; Rheinboldt, Werner C.
PDF Url : ADA292285
Report Date : AUG 1994
Pagination or Media Count : 35
Abstract : Part 1 of this paper presented a theory of distribution solutions of semilinear differential-algebraic equations (DAE's). In particular, it was shown that uniqueness of solutions of initial value problems breaks down completely in the class of discontinuous solutions. Here a mathematical procedure is introduced for selecting physically acceptable solutions which satisfy some new consistency condition relative to admissible perturbations of the original DAE. Several nonlinear circuit examples are given to support the theory. (AN)
Descriptors : *DIFFERENTIAL EQUATIONS, *NONLINEAR ALGEBRAIC EQUATIONS, *LINEAR ALGEBRAIC EQUATIONS, PARAMETERS, EIGENVALUES, CONSISTENCY, SOLUTIONS(GENERAL), APPROXIMATION(MATHEMATICS), VECTOR ANALYSIS, PERTURBATION THEORY, PERTURBATIONS, INDUCTANCE, CIRCUIT ANALYSIS, CAPACITORS.
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE