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A Titchmarsh-Weyl matrix function for symmetric differential equations of order 2n with an indefinite weight function

Published online by Cambridge University Press:  14 November 2011

Karim Daho
Karim Daho
Affiliation:
Department of Applied Mathematics, Linköping Institute of Technology, Linköping, Sweden
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Synopsis

A Titchmarsh-Weyl matrix function W(λ) is defined for the differential equation of order 2n

with po>0, pk≧0, k = 1, 2, …, n on 005B;0, b), λєℂ and an indefinite weight function r. It is shown that this function W(λ) belongs to some class and that some operators associated with the above equation are definitizable in the Krein space . In the particular case n = 1, these results are contained in an earlier paper by the present author and H. Langer.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 98 , Issue 3-4 , 1984 , pp. 311 - 337
Copyright
Copyright © Royal Society of Edinburgh 1984

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References

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