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Adjoints and self-adjointness for a differential operator with a varying structure

Published online by Cambridge University Press:  14 November 2011

P. C. Das  and
Uma Shanker Prasad
P. C. Das
Affiliation:
Department of Mathematics, Indian Institute of Technology, Kanpur, India 208016
Uma Shanker Prasad
Affiliation:
Department of Mathematics, Indian Institute of Technology, Kanpur, India 208016
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Synopsis

In this paper the adjoint operator is derived for a multi-point differential operator with a varying structure in a suitably chosen Hilbert space. The formal differential operator is given by different differential expressions in the adjoining intervals. This form of adjoint operator is used to characterize self-adjointness.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 93 , Issue 1-2 , 1982 , pp. 15 - 24
Copyright
Copyright © Royal Society of Edinburgh 1982

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