Application of the averaging method to the study of periodic solutions and stability of differential equations
1 Department of Mathematical Modeling, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
Keywords:
averaging method, periodic solutions, stability of differential equations
Abstract
The periodic system of differential equations is considered. The averaging method is applied for studying of periodic solutions for perturbed hamiltonian system, conservative system with small delay and singularly perturbed system. The countable sequence of periodic solutions for some equation of second order is obtained. The stability of linear system has been investigated.
Cite
- ACS Style
- Klevchuk, I. Application of the averaging method to the study of periodic solutions and stability of differential equations. Bukovinian Mathematical Journal. 2018, 1
- AMA Style
- Klevchuk I. Application of the averaging method to the study of periodic solutions and stability of differential equations. Bukovinian Mathematical Journal. 2018; 1(314).
- Chicago/Turabian Style
- Ivan Klevchuk. 2018. "Application of the averaging method to the study of periodic solutions and stability of differential equations". Bukovinian Mathematical Journal. 1 no. 314.
Export