Maximally Dissipative Differential Operators of First Order in the Weighted Hilbert Space

Al, Pembe İpek; Akbaba, Ümmügülsün

doi:10.1134/s1995080221030033

Search citation statements

Order By: Relevance

Paper Sections

Select...

Ntroduction and Notations1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2021

2023

Publication Types

Select...

Article2

Relationship

Self Cite0

Independent2

Authors

Journals

Cited by 2 publications

(1 citation statement)

References 7 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Ismailov and et. all have investigated some spectral problems associated with functional type linear singular differential operator of first order in the Hilbert space of vector functions [24][25][26][27][28][29][30][31][32][33][34].…”

Section: Ntroduction and Notationsmentioning

confidence: 99%

On Some Class of Normal Differential Operators for First Order

ÖZTÜRK MERT

2023

Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi

View full text Add to dashboard Cite

In this work, we construct the minimal and maximal operators generated by linear differential-operator expression for first order in the Hilbert space of vector-functions on finite symmetric interval. Then, deficiency indices of the minimal operator will be calculated and the space of boundary values of this operator will be constructed. By using of Calkin-Gorbachuk method, the general representation of all normal extensions of the formally normal minimal operator in terms of boundary values will also be established. Moreover we explore the spectrum structure of these extensions.

show abstract