Fourth order differential operators with distributional potentials

Ekin UĞURLU; Elgiz BAIRAMOV

doi:https://doi.org/10.3906/mat-1706-34

Makale detayları

Fourth order differential operators with distributional potentials

Yazarlar:

Ekin UĞURLU | Elgiz BAIRAMOV

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2020 Vol.44 Issue 3, pp.825-856

Belge Tipi:

Makale

Yayın Tarihi:

4/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000745430

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

DOI:

https://doi.org/10.3906/mat-1706-34

Özet:

 

In this paper, regular and singular fourth order differential operators with distributional potentials are investigated. In particular, existence and uniqueness of solutions of the fourth order differential equations are proved, deficiency indices theory of the corresponding minimal symmetric operators are studied. These symmetric operators are considered as acting on the single and direct sum Hilbert spaces. The latter one consists of three Hilbert spaces such that a squarely integrable space and two spaces of complex numbers. Moreover all maximal self-adjoint, maximal dissipative and maximal accumulative extensions of the minimal symmetric operators including direct sum operators are given in the single and direct sum Hilbert spaces.

Makale detayları

Fourth order differential operators with distributional potentials

Yazarlar: Ekin UĞURLU | Elgiz BAIRAMOV

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2020 Vol.44 Issue 3, pp.825-856

Belge Tipi: Makale

Yayın Tarihi: 4/2020

Belge Dili: İngilizce

Document ID (Org No.): 2000745430

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

DOI: https://doi.org/10.3906/mat-1706-34

Sayı

Yazarlar:

Ekin UĞURLU | Elgiz BAIRAMOV

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2020 Vol.44 Issue 3, pp.825-856

Belge Tipi:

Makale

Yayın Tarihi:

4/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000745430

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

DOI:

https://doi.org/10.3906/mat-1706-34