A new approach to uniqueness for inverse Sturm-Liouville problems on finite intervals

Seyfollah MOSAZADEH

Makale detayları

A new approach to uniqueness for inverse Sturm-Liouville problems on finite intervals

Yazarlar:

Seyfollah MOSAZADEH

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2017 Vol.41 Issue 5, pp.1224-1234

Belge Tipi:

Makale

Yayın Tarihi:

9/2017

Belge Dili:

Türkçe

Document ID (Org No.):

2000745998

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

In this paper,  an approach for studying inverse Sturm--Liouville problems with integrable potentials on finite intervals is presented. We find the relations between Weyl solutions and mjmjm_{j}-functions of Sturm--Liouville problems, and by finding the connection between these and the solutions of second-order partial differential equations for transformation kernels associated with Sturm--Liouville operators, we prove the uniqueness of the solution of  inverse problems.

Makale detayları

A new approach to uniqueness for inverse Sturm-Liouville problems on finite intervals

Yazarlar: Seyfollah MOSAZADEH

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2017 Vol.41 Issue 5, pp.1224-1234

Belge Tipi: Makale

Yayın Tarihi: 9/2017

Belge Dili: Türkçe

Document ID (Org No.): 2000745998

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Seyfollah MOSAZADEH

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2017 Vol.41 Issue 5, pp.1224-1234

Belge Tipi:

Makale

Yayın Tarihi:

9/2017

Belge Dili:

Türkçe

Document ID (Org No.):

2000745998

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098