Singularly Perturbed Differential/Algebraic Equations.

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.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1994
Accession Number
ADA288365

Entities

People

  • Xiaopu Yan

Organizations

  • University of Pittsburgh

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Asymptotic Series
  • Boundaries
  • Boundary Layer
  • Coefficients
  • Differential Equations
  • Eigenvalues
  • Equations
  • Functional Analysis
  • Integral Equations
  • Integrals
  • Intervals
  • Linear Systems
  • Mathematics
  • Nonlinear Systems
  • Polynomials
  • Sequences
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)