Fourth order differential operators with distributional potentials

Ekin UĞURLU; Elgiz BAIRAMOV

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

Article Details

Fourth order differential operators with distributional potentials

Authors:

Ekin UĞURLU | Elgiz BAIRAMOV

Publisher:

TUBITAK

Journal:

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

Document Type:

Article

Publication Date:

4/2020

Document Language:

English

Document ID (Org No.):

2000745430

Frequency:

Bimonthly

eISSN:

1303-6149

pISSN:

1300-0098

DOI:

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

Abstract:

 

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.

Article Details

Fourth order differential operators with distributional potentials

Authors: Ekin UĞURLU | Elgiz BAIRAMOV

Publisher: TUBITAK

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

Document Type: Article

Publication Date: 4/2020

Document Language: English

Document ID (Org No.): 2000745430

Frequency: Bimonthly

eISSN: 1303-6149

pISSN: 1300-0098

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

Issues

Authors:

Ekin UĞURLU | Elgiz BAIRAMOV

Publisher:

TUBITAK

Journal:

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

Document Type:

Article

Publication Date:

4/2020

Document Language:

English

Document ID (Org No.):

2000745430

Frequency:

Bimonthly

eISSN:

1303-6149

pISSN:

1300-0098

DOI:

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