Abstract
The structure of the generalized reflective function of three-degree polynomial differential systems is considered in this paper. The generated results are used for discussing the existence of periodic solutions of these systems.
Highlights
As we know, it is very important to study the properties of the solution of differential system x = X (t, x) (1)for both the theory and application of an ordinary differential equation.If X(t + 2ω, x) = X(t, x) (ω is a positive constant), we can use the Poincaremapping introduced in [1] to study the behavior of the solutions of (1)
The structure of the generalized reflective function of three-degree polynomial differential systems is considered in this paper
It is very important to study the properties of the solution of differential system x = X (t, x) for both the theory and application of an ordinary differential equation
Summary
The structure of the generalized reflective function of three-degree polynomial differential systems is considered in this paper. The generated results are used for discussing the existence of periodic solutions of these systems.
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