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Meždunarodnyj naučno-issledovatel'skij žurnal, 2016, , Issue 10-2(52), Pages 137–143
DOI: https://doi.org/10.18454/IRJ.2016.52.093 (Mi irj154) 		 
PHYSICS AND MATHEMATICS

About asymptotics of the eigenvalues of model boundary problem for the family of differential operators with summable potential

S. I. Mitrokhin

Lomonosov Moscow State University, Research Computing Center
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DOI: https://doi.org/10.18454/IRJ.2016.52.093
Abstract: The model boundary value problem for a family of differential operators with separated boundary conditions with a summable potential is studied. The asymptotic of solutions of the corresponding differential equations for large values of the spectral parameter is deduced. The equation for the eigenvalues of the studied operators is obtained. The asymptotics of the eigenvalues of the studied family of differential operators is analyzed.
Keywords: boundary value problem, differential operator, spectral parameter, summable potential, asymptotics of the eigenvalues.
Document Type: Article
Language: Russian
Citation: S. I. Mitrokhin, “About asymptotics of the eigenvalues of model boundary problem for the family of differential operators with summable potential”, Meždunar. nauč.-issled. žurn., 2016, no. 10-2(52), 137–143
Citation in format AMSBIB
\Bibitem{Mit16}
\by S.~I.~Mitrokhin
\paper About asymptotics of the eigenvalues of model boundary problem for the family of differential operators with summable potential
\jour Me{\v z}dunar. nau{\v{c}}.-issled. {\v z}urn.
\yr 2016
\issue 10-2(52)
\pages 137--143
\mathnet{http://mi.mathnet.ru/irj154}
\crossref{https://doi.org/10.18454/IRJ.2016.52.093}
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