AN INVERSE RESULT FOR THE PERIODIC BOUNDARY CONDITIONS

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Published: 2017-07-31

Page: 42-49


ALP ARSLAN KIRAÇ *

Department of Mathematics, Faculty of Arts and Sciences, Pamukkale University, 20070 Denizli, Turkey

*Author to whom correspondence should be addressed.


Abstract

We obtain the classical Ambarzumyan's theorem for the Sturm-Liouville operator L with real-valued potential q ∈ L1[0, 1] and periodic boundary conditions when the subset of the spectrum of L and Fourier coecients ck of the potential q such that the condition  holds are given. The same result holds for the anti-periodic boundary conditions.

Keywords: Ambarzumyan theorem, inverse spectral theory, Hill operator, eigenvalue asymptotics


How to Cite

KIRAÇ, A. A. (2017). AN INVERSE RESULT FOR THE PERIODIC BOUNDARY CONDITIONS. Asian Journal of Mathematics and Computer Research, 19(2), 42–49. Retrieved from https://ikprress.org/index.php/AJOMCOR/article/view/826

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