Journal of Operator Theory
Volume 79, Issue 1, Winter 2018 pp. 213-223.
Ambarzumian theorem for non-selfadjoint boundary value problems
Authors:
Olga Boyko (1), Olga Martynyuk (2), and Vyacheslav
Pivovarchik (3)
Author institution: (1) Department of Applied Mathematics and Computer
Science, South Ukrainian National Pedagogical University, Odesa, 65020,
Ukraine
(2) Department of Higher Mathematics and Statistics, South Ukrainian National
Pedagogical University, Odesa, 65020, Ukraine
(3) Department of Higher Mathematics and Statistics, South Ukrainian National
Pedagogical University, Odesa, 65020, Ukraine
Summary: We prove analogues of Ambarzumian's theorem for the cases of: (1) the
boundary value problem with dissipative conditions dependent on the spectral
parameter at both ends, (2) the boundary value problem generated by the Sturm--Liouville
equation with the potential linearly dependent of the spectral parameter.
DOI: http://dx.doi.org/10.7900/jot.2017feb14.2150
Keywords: Sturm-Liouville equation, von Neumann boundary conditions
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