Email this article Associated functions of a nonlinear spectral problem for a system of ordinary differential equations
- Authors: Abramov A.A.1,2,3, Yukhno L.F.1,2,3
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Affiliations:
- Dorodnitsyn Computing Center
- Keldysh Institute of Applied Mathematics
- National Research Nuclear University MEPHI
- Issue: Vol 52, No 7 (2016)
- Pages: 836-844
- Section: Numerical Methods
- URL: https://journals.rcsi.science/0012-2661/article/view/153894
- DOI: https://doi.org/10.1134/S001226611607003X
- ID: 153894
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Abstract
We study the notion of associated functions of a nonlinear spectral problem for a linear system of ordinary differential equations supplemented with nonlocal conditions given by a Stieltjes integral. We establish the relationship of this problem with the corresponding problem in a finite-dimensional linear space. We consider a numerical method for finding associated functions and justify its stability.
About the authors
A. A. Abramov
Dorodnitsyn Computing Center; Keldysh Institute of Applied Mathematics; National Research Nuclear University MEPHI
Author for correspondence.
Email: alalabr@ccas.ru
Russian Federation, Moscow; Moscow; Moscow
L. F. Yukhno
Dorodnitsyn Computing Center; Keldysh Institute of Applied Mathematics; National Research Nuclear University MEPHI
Email: alalabr@ccas.ru
Russian Federation, Moscow; Moscow; Moscow
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