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A boundary-value problem for an ordinary differential equation whose coefficients are in a B*-algebra

Published online by Cambridge University Press:  14 November 2011

James Moodie
James Moodie
Affiliation:
Department of Mathematics, Royal Naval Engineering College, Manadon, Plymouth
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Synopsis

We give some results on a boundary-value problem for an ordinary differential equation whose coefficients are in the B*-algebra C(K), where K is a compact metric space. We deduce the existence of a countable number of eigenvalues and corresponding eigenfunctions, the latter being complete in a certain sense. There follows an expansion result and some remarks on a self-adjoint realisation of the associated differential operator.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 80 , Issue 3-4 , 1978 , pp. 323 - 332
Copyright
Copyright © Royal Society of Edinburgh 1978

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