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Chebyshevskii Sbornik, 2021, Volume 22, Issue 3, Pages 353–367
DOI: https://doi.org/10.22405/2226-8383-2018-22-3-353-367
(Mi cheb1078)
 

HISTORY OF MATH AND APPLICATIONS

Problems on eigenvalues for ordinary differential equations of the second order with variable coefficients

V. I. Gorbachev

Lomonosov Moscow State University (Moscow)
References:
Abstract: In paper the linear homogeneous self-interfaced ordinary differential is considered Second-kind equation with the variable integrable factors depending on the numerical Parametre (input equation). The input equation Common decision is about accuracy to two Arbitrary constants by means of the integral formula, before the paper offered by the author. On the general The solution is superimposed two homogeneous conditions from which the system from two equations follows for Arbitrary constants. Demanding, that there was a nontrivial solution of an input equation, We receive the complicated nonlinear equation for numerical parametre (the spectral equation).
Keywords: differential equations of the second order, the equation with variable coefficients, a problem Sturm–Liuvill, the spectral equations.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation АААА-А16-116070810022-4
Russian Foundation for Basic Research 19-01-00016_а
Received: 29.04.2021
Accepted: 20.09.2021
Document Type: Article
UDC: 519.6, 539.30, 517.9
Language: Russian
Citation: V. I. Gorbachev, “Problems on eigenvalues for ordinary differential equations of the second order with variable coefficients”, Chebyshevskii Sb., 22:3 (2021), 353–367
Citation in format AMSBIB
\Bibitem{Gor21}
\by V.~I.~Gorbachev
\paper Problems on eigenvalues for ordinary differential equations of the second order with variable coefficients
\jour Chebyshevskii Sb.
\yr 2021
\vol 22
\issue 3
\pages 353--367
\mathnet{http://mi.mathnet.ru/cheb1078}
\crossref{https://doi.org/10.22405/2226-8383-2018-22-3-353-367}
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