The Existence of Periodic Solutions for a Class of Functional Differential Equations and Their Application

Zhao Jie-min; Huang Ke-lei; Lu Qishao

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Article Navigation > Applied Mathematics and Mechanics > 1994 > 15(1): 49-58

Zhao Jie-min, Huang Ke-lei, Lu Qishao. The Existence of Periodic Solutions for a Class of Functional Differential Equations and Their Application[J]. Applied Mathematics and Mechanics, 1994, 15(1): 49-58.

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The Existence of Periodic Solutions for a Class of Functional Differential Equations and Their Application

Beijing University of Aeronaufics and Asfroautics, Beijng

Received Date: 1992-11-10
Publish Date: 1994-01-15

Abstract

Abstract

In this paper,the retarded functional differential equation are considered, We obtain four existence theorems of periodc solutions of it, The application of these theorems are convenient and efficient and the theorem of this paper is better than the well-known Yoshizawa's periodic solution theorem.A feedback system is discussed in detail and a sufficient condition of guaranteeing the existence of an ω-Periodic motion of the system is got by applying these theorems in this paper.
- retarded functional differential equation,
- periodic solution,
- boundedness of solutions

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References(6)

References

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