3 papers
math.SP2016
A new Improvement of Ambarzumyan's Theorem
Alp Arslan Kiraç
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 cond…
math.SP2014
On the asymptotically simplicity of periodic eigenvalues and Titchmarsh's formula
Alp Arslan Kıraç
We consider Sturm-Liouville equation where . We obtain various conditions on the Fourier coefficients of q such that the periodic eigen…
math.SP2014
On the Riesz Basisness of Systems Composed of Root Functions of Periodic Boundary Value Problems
Alp Arslan Kirac
In this paper, we consider the nonselfadjoint Sturm Liouville operator with and either periodic, or antiperiodic boundary conditions. We obtain necessary and sufficient conditions…