On the existence of periodic solutions to one class of systems of nonlinear differential equations (Q2121919)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the existence of periodic solutions to one class of systems of nonlinear differential equations |
scientific article |
Statements
On the existence of periodic solutions to one class of systems of nonlinear differential equations (English)
0 references
5 April 2022
0 references
The author investigates the existence of periodic solutions for a class of nonlinear ordinary differential equations. The exponential dichotomy of the linear part is also considered. Stability criteria for the periodic state are also proposed.
0 references
nonlinear differential equations
0 references
periodic solutions
0 references
exponential dichotomy
0 references
Lyapunov equation
0 references
Sobolev spaces
0 references
0 references
