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Complex Variables and Elliptic Equations
An International Journal
Volume 60, 2015 - Issue 12
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Articles

On discreteness of the spectrum of a class of mixed-type singular differential operators

M.B. MuratbekovMathematics and Methods of Teaching Mathematics, Taraz State Pedagogical Institute, Taraz, Kazakhstan.View further author information
,
T. KalmenovLaboratory of Spectral Analysis of Operators, Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan.View further author information
&
M.M. MuratbekovComputer Sciences and Information Security, L.N. Gumilyov Eurasian National University, Astana, Kazakhstan.Correspondence[email protected]
View further author information
Pages 1752-1763 | Received 03 Apr 2015, Accepted 30 Apr 2015, Published online: 11 Jun 2015
 
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Abstract

In this paper, the conditions are found on the coefficients that ensure the existence of the resolvent and the discreteness of spectrum for a class of singular differential operators.

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Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

The research has been supported by Science Committee of Ministry of Education and Science of Kazakhstan [grant number 1764/GF4].

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