ON BOUNDARY LAYER PROBLEMS EXHIBITING RESONANCE.

Bernard J. Matkowsky*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

26 Scopus citations

Abstract

Singularly perturbed boundary value problems are considered for differential equations of the form epsilon y double prime plus f(x; epsilon )y prime plus g(x, epsilon )y equals h(x , epsilon ), where f changes sign at one or more points in the interval under consideration. Such points are sometimes referred to as turning points. It is shown that various anomalies can occur in such problems. One of these anomalies is the phenomenon of resonance. Criteria are presented for resonance to occur, and uniformly valid asymptotic expansions for the solution of such problems are derived.

Original languageEnglish (US)
Pages (from-to)82-100
Number of pages19
JournalSIAM Review
Volume17
Issue number1
DOIs
StatePublished - Jan 1 1975

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computational Mathematics
  • Applied Mathematics

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