Accession Number : ADA288365

Title :   Singularly Perturbed Differential/Algebraic Equations.

Corporate Author : PITTSBURGH UNIV PA DEPT OF MATHEMATICS AND STATISTICS

Personal Author(s) : Yan, Xiaopu

PDF Url : ADA288365

Report Date : OCT 1994

Pagination or Media Count : 44

Abstract : In this paper, singularly perturbed nonlinear differential/algebraic equations (DAEs) are considered and a proof of the existence and uniqueness of a solution is given. Asymptotic expansions for such a solution are obtained and proved to be uniformly convergent. This generalizes known results about asymptotic expansions of singularly perturbed ordinary differential equations.

Descriptors :   *DIFFERENTIAL EQUATIONS, *PERTURBATION THEORY, *NONLINEAR ALGEBRAIC EQUATIONS, MATRICES(MATHEMATICS), SOLUTIONS(GENERAL), ASYMPTOTIC SERIES, CONVERGENCE, PERTURBATIONS.

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE