Zeroes and poles of a characteristic function for Sturm–Liouville problem with nonlocal integral condition

Agnė Skučaitė; Artūras Štikonas

doi:10.15388/LMR.A.2015.17

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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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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.

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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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