Perturbation Formulas for a Nonlinear Eigenvalue Problem for Ordinary Differential Equations
- Autores: Abramov A.A.1, Yukhno L.F.2
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Afiliações:
- Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,” Russian Academy of Sciences
- Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
- Edição: Volume 58, Nº 6 (2018)
- Páginas: 858-862
- Seção: Article
- URL: https://journal-vniispk.ru/0965-5425/article/view/179631
- DOI: https://doi.org/10.1134/S0965542518060027
- ID: 179631
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Resumo
The eigenvalue problem for a linear system of ordinary differential equations is considered. The problem is nonlinear with respect to the spectral parameter and involves generally nonlocal additional conditions specified by a Stieltjes integral. Additionally, the input data of the problem depend on a numerical parameter. Formulas giving the principal part of the variation in the solution of the eigenvalue problem under a small variation in this parameter are proposed.
Sobre autores
A. Abramov
Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,”Russian Academy of Sciences
Autor responsável pela correspondência
Email: alalabr@ccas.ru
Rússia, Moscow, 119333
L. Yukhno
Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
Autor responsável pela correspondência
Email: yukhno@imamod.ru
Rússia, Moscow, 125047
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