Isaac Scientific Publishing

Advances in Analysis

Some Improvements of Ambarzumyan’s Theorem

Download PDF (359.4 KB) PP. 121 - 123 Pub. Date: July 1, 2018

DOI: 10.22606/aan.2018.33001

Author(s)

  • Alp Arslan Kıraç*
    Department of Mathematics, Faculty of Arts and Sciences, Pamukkale University, 20070, Denizli, Turkey

Abstract

We extend the classical Ambarzumyan’s theorem to the quasi-periodic boundary value problems by using only a part knowledge of one spectrum. We also weaken slightly the Yurko’s conditions on the first eigenvalue.

Keywords

Ambarzumyan theorem, inverse spectral theory, Hill operator, quasi-periodic boundary conditions

References

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