ON SELF-ADJOINT EXTENSIONS OF SYMMETRIC OPERATOR WITH EXIT TO LARGER SPACE

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Aslanova N. M., Aslanov K. M.

TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS, no.1, pp.91-105, 2023 (SCI-Expanded)

• Publication Type: Article / Article
• Publication Date: 2023
• Doi Number: 10.30546/2219-1259.14.1.2023.91
• Journal Name: TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED)
• Page Numbers: pp.91-105
• Azerbaijan State University of Economics (UNEC) Affiliated: Yes

Abstract

In this paper, we investigate a minimal operator corresponding for the second order differential operator expression with an exit from the space, study its self-adjoint extensions, also for one particular self-adjoint extension, corresponding to boundary value problem with some rational function of eigenparameter in boundary condition, establish asymptotics of the spectrum and derive a trace formula.