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Morse's Oscillation Theorem for a Degenerate Case

✍ Scribed by S.Ya. Belov; V.Ya. Belov; G.H. Williams

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 193 KB
Volume: 209
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.1997.5335

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✦ Synopsis

We consider the eigenvalue problem for a selfadjoint system of linear ordinary differential equations with general mixed boundary conditions which allow a combination of terms involving boundary values from the left and right end points. We obtain a precise formula for the Morse index of the problem which is valid even in the degenerate case.

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