On the isospectrality of the scalar energy-dependent Schrödinger  problems

Tüba GÜLŞEN; Etibar Sadi PANAKHOV

Makale detayları

On the isospectrality of the scalar energy-dependent Schrödinger problems

Yazarlar:

Tüba GÜLŞEN | Etibar Sadi PANAKHOV

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2018 Vol.42 Issue 1, pp.139-154

Belge Tipi:

Makale

Yayın Tarihi:

1/2018

Belge Dili:

Türkçe

Document ID (Org No.):

2000745942

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

In this study, we discuss the inverse spectral  problem for the energy-dependent Schrödinger equation on a finite interval. We  construct an isospectrality problem and obtain some relations between  constants in boundary conditions of the problems that constitute  isospectrality. Above all, we obtain degeneracy of K(x,t)−K0(x,t)K(x,t)−K0(x,t) K(x,t)-K_{0}{ (x,t)}  and   L(x,t)−L0(x,t)L(x,t)−L0(x,t)L(x,t)-L_{0} (x,t) by using a different approach. Some  of the main results of our study coincide with results reported by Jodeit and Levitan. However, the method to obtain degeneracy is completely different. Furthermore, we consider  all above results for the nonisospectral case.

Makale detayları

On the isospectrality of the scalar energy-dependent Schrödinger problems

Yazarlar: Tüba GÜLŞEN | Etibar Sadi PANAKHOV

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2018 Vol.42 Issue 1, pp.139-154

Belge Tipi: Makale

Yayın Tarihi: 1/2018

Belge Dili: Türkçe

Document ID (Org No.): 2000745942

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Tüba GÜLŞEN | Etibar Sadi PANAKHOV

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2018 Vol.42 Issue 1, pp.139-154

Belge Tipi:

Makale

Yayın Tarihi:

1/2018

Belge Dili:

Türkçe

Document ID (Org No.):

2000745942

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098