Zeroes and poles of a characteristic function for Sturm–Liouville problem with nonlocal integral condition
Articles
Agnė Skučaitė
Vilnius University
https://orcid.org/0000-0001-7650-8132
Artūras Štikonas
Vilnius University
http://orcid.org/0000-0002-5872-5501
Published 2015-12-23
https://doi.org/10.15388/LMR.A.2015.17
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How to Cite

Skučaitė A. and Štikonas A. (2015) “Zeroes and poles of a characteristic function for Sturm–Liouville problem with nonlocal integral condition”, Lietuvos matematikos rinkinys, 56(A), pp. 95-100. doi: 10.15388/LMR.A.2015.17.

Abstract

This paper presents some new results on a spectrum for the Sturm–Liouville problem with one integral type nonlocal boundary condition depending on tree parameters (γ, ξ1, ξ2). Some new results on distribution of the sets of special points (poles, zeros and constant eigenvalue points) are presented.

The research was partially supported by the Research Council of Lithuania (grant No. MIP-047/ 2014).

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