Weyl Function of Sturm–Liouville Problems with Transmission Conditions at Finite Interior Points

Weyl Function of Sturm–Liouville Problems with Transmission Conditions at Finite Interior Points In this paper, a class of singular Sturm–Liouville problems with transmission conditions at finite interior points is studied. The equation, center and radius of Weyl circle are given. The necessary and sufficient conditions for the function $$ m(\lambda ) $$ m ( λ ) , which is in the Weyl circle, are established. The definition of Weyl function for singular Sturm–Liouville problems with transmission conditions in the case of limit circle is given, and the properties of Weyl function are discussed. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mediterranean Journal of Mathematics Springer Journals

Weyl Function of Sturm–Liouville Problems with Transmission Conditions at Finite Interior Points

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Publisher
Springer International Publishing
Copyright
Copyright © 2017 by Springer International Publishing AG
Subject
Mathematics; Mathematics, general
ISSN
1660-5446
eISSN
1660-5454
D.O.I.
10.1007/s00009-017-0988-5
Publisher site
See Article on Publisher Site

Abstract

In this paper, a class of singular Sturm–Liouville problems with transmission conditions at finite interior points is studied. The equation, center and radius of Weyl circle are given. The necessary and sufficient conditions for the function $$ m(\lambda ) $$ m ( λ ) , which is in the Weyl circle, are established. The definition of Weyl function for singular Sturm–Liouville problems with transmission conditions in the case of limit circle is given, and the properties of Weyl function are discussed.

Journal

Mediterranean Journal of MathematicsSpringer Journals

Published: Aug 16, 2017

References

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