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Tambov University Reports. Series: Natural and Technical Sciences, 2018, Volume 23, Issue 122, Pages 154–157
DOI: https://doi.org/10.20310/1810-0198-2018-23-122-154-157 (Mi vtamu65) 		 
On the spectral problem and positive solutions for a functional-differential equation of the even order

M. J. Alvesa, S. M. Labovskib

a Eduardo Mondlane University
b Plekhanov Russian University of Economics
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DOI: https://doi.org/10.20310/1810-0198-2018-23-122-154-157
Abstract: Basic properties of the system of eigenfunctions for even order functional differential equation under special boundary conditions are obtained. Equivalence of a serie of classical affirmations is established. Among them are the Vallee-Poussin affirmation and positivity of the corresponding quadratic functional.
Keywords: quadratic functional, Vallee-Poussin theorem, functional differential operator, spectrum.
Received: 22.03.2018
Bibliographic databases:
Document Type: Article
UDC: 517.929.7
Language: Russian
Citation: M. J. Alves, S. M. Labovski, “On the spectral problem and positive solutions for a functional-differential equation of the even order”, Tambov University Reports. Series: Natural and Technical Sciences, 23:122 (2018), 154–157
Citation in format AMSBIB
\Bibitem{AlvLab18}
\by M.~J.~Alves, S.~M.~Labovski
\paper On the spectral problem and positive solutions for a functional-differential equation of the even order
\jour Tambov University Reports. Series: Natural and Technical Sciences
\yr 2018
\vol 23
\issue 122
\pages 154--157
\mathnet{http://mi.mathnet.ru/vtamu65}
\crossref{https://doi.org/10.20310/1810-0198-2018-23-122-154-157}
\elib{https://elibrary.ru/item.asp?id=35213522}
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