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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2013, Volume 155, Book 3, Pages 91–104 (Mi uzku1218)  
This article is cited in 2 scientific papers (total in 2 papers)

Computation of the minimal eigenvalue for a nonlinear Sturm–Liouville problem

V. S. Zheltukhina, S. I. Solov'evb, P. S. Solov'evc, V. Yu. Chebakovaa

a Institute of Computer Mathematics and Information Technologies, Kazan (Volga Region) Federal University, Kazan, Russia
b Institute of Computer Mathematics and Information Technologies, Kazan (Volga Region) Federal University, Kazan, Russia
c Kazan (Volga Region) Federal University, Kazan, Russia
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Abstract: We derive a condition for the existence of the minimal eigenvalue answering the positive eigenfunction of the nonlinear eigenvalue problem for an ordinary differential equation. This problem is approximated by a mesh scheme of the finite element method. The convergence of the approximate solutions to the exact ones is investigated. The theoretical results are illustrated by numerical experiments for a model problem.
Keywords: eigenvalue, positive eigenfunction, nonlinear eigenvalue problem, ordinary differential equation, Sturm–Liouville problem, finite element method.
Received: 22.05.2013
Document Type: Article
UDC: 519.63
Language: Russian
Citation: V. S. Zheltukhin, S. I. Solov'ev, P. S. Solov'ev, V. Yu. Chebakova, “Computation of the minimal eigenvalue for a nonlinear Sturm–Liouville problem”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 155, no. 3, Kazan University, Kazan, 2013, 91–104
Citation in format AMSBIB
\Bibitem{ZheSolSol13}
\by V.~S.~Zheltukhin, S.~I.~Solov'ev, P.~S.~Solov'ev, V.~Yu.~Chebakova
\paper Computation of the minimal eigenvalue for a~nonlinear Sturm--Liouville problem
\serial Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
\yr 2013
\vol 155
\issue 3
\pages 91--104
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku1218}
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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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    		Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
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