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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, Number 7, Pages 44–54
(Mi ivm9133)
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This article is cited in 7 scientific papers (total 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.
Received: 19.12.2014
Citation:
B. Yu. Irgashev, “On spectral problem for one equation of high even order”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 7, 44–54; Russian Math. (Iz. VUZ), 60:7 (2016), 37–46
Linking options:
https://www.mathnet.ru/eng/ivm9133 https://www.mathnet.ru/eng/ivm/y2016/i7/p44
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Abstract page: | 235 | Full-text PDF : | 49 | References: | 27 | First page: | 4 |
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