On determination of discontinuous Sturm-Liouville operator fromWeyl function

Ozge Akcay Karakus

doi:10.26637/mjm1104/003

Abstract

In this paper, the Weyl function for the Sturm-Liouville operator which contains the discontinuous coefficient and discontinuity conditions at an interior point of the finite interval is defined and examined. The uniqueness theorem of solution of the inverse spectral problem for the discontinuous Sturm-Liouville operator according to Weyl function is proved.

Keywords:

inverse problem, Sturm-Liouville equation, discontinuity conditions and discontinuous coefficient, Weyl function

Mathematics Subject Classification:

34B24, 34A55, 47E05

Authors Imprint References Funding Related Articles Downloads

Ozge Akcay Karakus Faculty of Engineering, Department of Computer Engineering, Munzur University, 62000 Tunceli, Turkey. https://orcid.org/0000-0001-9691-666X

Pages: 356-362
Date Published: 01-10-2023
Vol. 11 No. 04 (2023): Malaya Journal of Matematik (MJM)

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