On the spectral properties of the differential operators with involution

Abdullayeva, Cholpon and Turdueva, Begimai and Ahmedov, Anvarjon A. (2021) On the spectral properties of the differential operators with involution. In: Journal of Physics: Conference Series, Simposium Kebangsaan Sains Matematik ke-28 (SKSM28) , 28-29 July 2021 , Kuantan, Pahang, Malaysia. pp. 1-5., 1988. ISSN 1742-6588

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Abstract

In this paper we deal with the problems of the eigenfunction expansions related to the differential operators with involution. The mean value formula for the eigenfunction is obtained with application of the transformation methods of the operators in the symmetric regions. The obtained formula is applied to estimate the eigenfunctions of the given differential operator in the ball. For domains with smooth boundary, the solution to these differential operator problems involves eigenfunction expansions associated with biharmonic-type operator with Navier boundary conditions.

Item Type: Conference or Workshop Item (Lecture)
Additional Information: Indexed by Scopus
Uncontrolled Keywords: Bi-harmonic; Differential operators; Eigenfunction expansions; Mean values; Navier boundary conditions; Smooth boundary; Spectral properties; Transformation methods
Subjects: Q Science > Q Science (General)
Q Science > QA Mathematics
T Technology > T Technology (General)
Faculty/Division: Center for Mathematical Science
Depositing User: Mr Muhamad Firdaus Janih@Jaini
Date Deposited: 28 Oct 2022 04:27
Last Modified: 28 Oct 2022 04:27
URI: http://umpir.ump.edu.my/id/eprint/35394
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