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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2018, Volume 58, Number 12, Pages 2014–2025
DOI: https://doi.org/10.31857/S004446690003549-4 (Mi zvmmf10802) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Existence conditions of negative eigenvalues in the regular Sturm–Liouville boundary value problem and explicit expressions for their number

S. V. Kurochkin

Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control”, Russian Academy of Sciences, Moscow, Russia
Citations (2)
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DOI: https://doi.org/10.31857/S004446690003549-4
Abstract: For the regular Sturm–Liouville boundary value problem with general nonseparated self-adjoint boundary conditions, conditions for the existence of zero and negative eigenvalues and expressions for their number are obtained. The conditions are expresses in a closed form, and the coefficient functions of the original equation appear in these conditions indirectly through a single numerical characteristic.
Key words: Sturm–Liouville equation, boundary value problem, eigenvalue.
Received: 23.10.2017
English version:
Computational Mathematics and Mathematical Physics, 2018, Volume 58, Issue 12, Pages 1937–1947
DOI: https://doi.org/10.1134/S096554251812014X
Bibliographic databases:
Document Type: Article
UDC: 517.927.25, 517.984.5
Language: Russian
Citation: S. V. Kurochkin, “Existence conditions of negative eigenvalues in the regular Sturm–Liouville boundary value problem and explicit expressions for their number”, Zh. Vychisl. Mat. Mat. Fiz., 58:12 (2018), 2014–2025; Comput. Math. Math. Phys., 58:12 (2018), 1937–1947
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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