Weakly Nonlinear Matrix Boundary-Value Problem in the Case of Parametric Resonance
- Autores: Chuiko S.1, Chuiko A.1, Sysoev D.1
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Afiliações:
- Donbass State Pedagogic University
- Edição: Volume 223, Nº 3 (2017)
- Páginas: 337-350
- Seção: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/239367
- DOI: https://doi.org/10.1007/s10958-017-3359-7
- ID: 239367
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Resumo
We establish necessary and sufficient conditions for the existence of solutions of a nonlinear matrix boundary-value problem for a system of ordinary differential equations in the case of parametric resonance. We construct a convergent iterative scheme for finding approximate solutions of the problem. As an example of application of the proposed iterative scheme, we obtain approximations to the solutions of a periodic boundary-value problem for the Riccati-type equation with parametric perturbation. To check the accuracy of the obtained approximations, we introduce residuals in the original equation.
Sobre autores
S. Chuiko
Donbass State Pedagogic University
Email: Jade.Santos@springer.com
Ucrânia, General Batyuk Str., 19, Slavyansk, Donetsk Region, 84116
A. Chuiko
Donbass State Pedagogic University
Email: Jade.Santos@springer.com
Ucrânia, General Batyuk Str., 19, Slavyansk, Donetsk Region, 84116
D. Sysoev
Donbass State Pedagogic University
Email: Jade.Santos@springer.com
Ucrânia, General Batyuk Str., 19, Slavyansk, Donetsk Region, 84116