An application of Sturm-Liouville theory to a class of two-part boundary-value problems

A simple solution of a general problem involving a bifurcated wave guide is presented. The purpose of the work is to explain a new and simple method of solving such problems and to exhibit an organic connexion between Sturm–Liouville theory and the theory of two-part boundary-value problems.

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Veröffentlicht in:Mathematical proceedings of the Cambridge Philosophical Society 1957-04, Vol.53 (2), p.368-381
1. Verfasser: Karp, Samuel N.
Format: Artikel
Sprache:eng
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Zusammenfassung:A simple solution of a general problem involving a bifurcated wave guide is presented. The purpose of the work is to explain a new and simple method of solving such problems and to exhibit an organic connexion between Sturm–Liouville theory and the theory of two-part boundary-value problems.
ISSN:0305-0041
1469-8064
DOI:10.1017/S0305004100032382