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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
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