Asymptotic solution of some singularly perturbed Fredholm integral equations

W. E. Olmstead*, A. K. Gautesen

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

18 Scopus citations


A formal approach is described for obtaining the asymptotic solution to a class of singularly perturbed Fredholm integral equations. The approach is illustrated through application to some example problems which arise in heat transfer, diffraction theory, crack mechanics, Markov processes and low order eigenvalue problems.

Original languageEnglish (US)
Pages (from-to)230-244
Number of pages15
JournalZAMP Zeitschrift für angewandte Mathematik und Physik
Issue number2
StatePublished - Mar 1989

ASJC Scopus subject areas

  • General Mathematics
  • General Physics and Astronomy
  • Applied Mathematics


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