Geodesic
Approximation of the minimal eigenvalue for a nonlinear Sturm–Liouville problem
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 157 (2015) no. 2, pp. 40-54

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Properties of the minimal eigenvalue corresponding to the positive eigenfunction of a nonlinear eigenvalue problem for an ordinary differential equation are studied. This problem is approximated by a mesh scheme of the finite element method. The error of approximate solutions is investigated. Theoretical results are illustrated by numerical experiments for a model eigenvalue problem.
Keywords: eigenvalue, positive eigenfunction, nonlinear eigenvalue problem, ordinary differential equation, finite element method.
Mots-clés : Sturm–Liouville problem 
@article{UZKU_2015_157_2_a3,
     author = {V. S. Zheltukhin and S. I. Solov'ev and P. S. Solov'ev},
     title = {Approximation of the minimal eigenvalue for a~nonlinear {Sturm{\textendash}Liouville} problem},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {40--54},
     publisher = {mathdoc},
     volume = {157},
     number = {2},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2015_157_2_a3/}
}
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V. S. Zheltukhin; S. I. Solov'ev; P. S. Solov'ev. Approximation of the minimal eigenvalue for a nonlinear Sturm–Liouville problem. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 157 (2015) no. 2, pp. 40-54. http://geodesic.mathdoc.fr/item/UZKU_2015_157_2_a3/