Email this article Perturbation Formulas for a Nonlinear Eigenvalue Problem for Ordinary Differential Equations
- Authors: Abramov A.A.1, Yukhno L.F.2
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Affiliations:
- Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,” Russian Academy of Sciences
- Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
- Issue: Vol 58, No 6 (2018)
- Pages: 858-862
- Section: Article
- URL: https://journals.rcsi.science/0965-5425/article/view/179631
- DOI: https://doi.org/10.1134/S0965542518060027
- ID: 179631
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Abstract
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.
About the authors
A. A. Abramov
Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,”Russian Academy of Sciences
Author for correspondence.
Email: alalabr@ccas.ru
Russian Federation, Moscow, 119333
L. F. Yukhno
Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
Author for correspondence.
Email: yukhno@imamod.ru
Russian Federation, Moscow, 125047
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