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Sturm-Liouville operators with an indefinite weight function

K. Daho, Heinz Langer

Proceedings of the Royal Society of Edinburgh Section A Mathematics · 1977 · 66 citations · 4 references

DOI

Concepts

Abstract

Synopsis Spectral properties of the singular Sturm-Liouville equation –( p −1 y ′)′ + qy = λry with an indefinite weight function r are studied in . The main tool is the theory of definitisable operators in spaces with an indefinite scalar product.

References

4

Lecture Notes in Mathematics

Stéphane Crépey, Olivier Guéant, David Hobson et al. · HAL (Le Centre pour la Communication Scientifique Directe) · 2011 · 10.2K citations

, , +4

<i>Theory of Ordinary Differential Equations</i>

Earl A. Coddington, Norman Levinson, T. Teichmann · Physics Today · 1956 · 6.3K citations

, , +6

<i>Discrete and Continuous Boundary Problems</i>

F. V. Atkinson, George H. Weiss · Physics Today · 1964 · 823 citations

, , +8

On the <i>m</i>-Coefficient of Weyl for a Differential Equation with an Indefinite Weight Function

F. V. Atkinson, W. N. Everitt, K. S. Ong · Proceedings of the London Mathematical Society · 1974 · 23 citations · Full text

, , +3