Analysis of a Singularly-Perturbed Linear Two-Point Boundary-Value Problem.

Abstract

This paper presents a simple constructive proof of the existence of solutions to a class of singularly-perturbed linear two-point boundary-value problems. Such problems arise when detailed models for physical phenomena involve effects that occur on markedly different temporal or spatial scales, the (singularly) small parameter measuring the disparity between the scales. This simple constructive proof, through slight modification, also allows one to prove the existence of solutions of a class of finite difference schemes used to approximate the solution of the continuous problem. Keywords: Differential equations; Greens function.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1986
Accession Number
ADA172582

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  • Warren E. Ferguson Jr

Organizations

  • University of Wisconsin–Madison

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  • Energy and Power Technologies

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  • Asymptotic Series
  • Boundaries
  • Boundary Value Problems
  • Contracts
  • Difference Equations
  • Differential Equations
  • Eigenvalues
  • Equations
  • Formulas (Mathematics)
  • Integral Equations
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  • Mathematics

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