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5 papers
Inverse Problem For Dirichlet Boundary Value Problems
Alp Arslan Kıraç, Fatma Ylmaz
In this article we consider Sturm-Liouville operator with and Dirichlet boundary conditions. We prove that if the set is a subs…
An Extension of The First Eigen-type Ambarzumyan theorem
Alp Arslan Kıraç
An extension of the first eigenvalue-type Ambarzumyan's theorem are provided for the arbitrary self-adjoint Sturm-Liouville differential operators. The result makes a contribution…
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…
On the Ambarzumyan's theorem for the Quasi-periodic Problem
Alp Arslan Kıraç
We obtain the classical Ambarzumyan's theorem for the Sturm-Liouville operators with and quasi-periodic boundary conditions, , when there…
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…