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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2016 Number 7, Pages 44–54 (Mi ivm9133)

This article is cited in 7 papers

On spectral problem for one equation of high even order

B. Yu. Irgashev

Namangan Engineering Pedagogical Institute, 12 Dustlik str., Namangan, 160103 Republic of Uzbekistan

Abstract: We study an eigenvaule problem for an equation of even order in a rectangular domain. We investigate problems on distribution and asymptotics of eigenvalues and dependence of an eigenvalue on the change of potential $q(x,y)$.

Keywords: eigenvalues, eigenfunctions, distribution and asymptotics of eigenvalues, Green function, completeness of a system of eigenfunctions.

UDC: 517.953

Received: 19.12.2014


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2016, 60:7, 37–46

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