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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, Number 6, Pages 31–47 (Mi ivm9366)  
This article is cited in 11 scientific papers (total in 11 papers)

Asymptotic of eigenvalues of differential operator with alternating weight function

S. I. Mitrokhin

R & D Computer Facility of Moscow State University, GSP-1, 1 Leninskie Gory, bld. 4, Moscow, 119991 Russia
Full-text PDF (287 kB) Citations (11)
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Abstract: We study a differential operator of the sixth order with alternating weight function. The potential of the operator has a first-order discontinuity at some point of a segment on which the operator is considered. The boundary conditions are separated. We study the asymptotics of solutions to corresponding differential equations and find the asymptotic behavior of the eigenvalues of the considered differential operator.
Keywords: differential operator, separated boundary conditions, alternating weight function, indicator diagram, asymptotic behavior of eigenvalues.
Received: 24.08.2016
Revised: 24.10.2017
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2018, Volume 62, Issue 6, Pages 27–42
DOI: https://doi.org/10.3103/S1066369X1806004X
Bibliographic databases:
Document Type: Article
UDC: 517.928
Language: Russian
Citation: S. I. Mitrokhin, “Asymptotic of eigenvalues of differential operator with alternating weight function”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 6, 31–47; Russian Math. (Iz. VUZ), 62:6 (2018), 27–42
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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