Nonlinear matrix differential-algebraic boundary value problem
- Authors: Chuiko S.1
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Affiliations:
- Department of Physics and Mathematics
- Issue: Vol 38, No 2 (2017)
- Pages: 236-244
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/198922
- DOI: https://doi.org/10.1134/S1995080217020056
- ID: 198922
Cite item
Abstract
We set forth solvability conditions and construction of the generalized Green’s operator for Noetherian boundary value problem for the matrix differential-algebraic equations and solvability conditions and the constructive scheme for constructing solutions of nonlinearNoetherian boundary value problem for matrix differential-algebraic equation. We show that the principal results in the theory of weakly nonlinear periodic oscillations remain valid for nonlinear Noetherian boundary value problem for matrix differential-algebraic equation. The study is illustrated by the periodic problem for a Duffing-type matrix differential equation.
About the authors
S. Chuiko
Department of Physics and Mathematics
Author for correspondence.
Email: chujko-slav@inbox.ru
Ukraine, vul. Batyuka 19, Slaviansk, 84116