THE EXISTENCE OF PERIODIC SOLUTIONS FOR A CLASS OF FUNCTIONAL DIFFERENTIAL EQUATIONS AND THEIR APPLICATION

Applied Mathematics and Mechanics (English Edition) ›› 1994, Vol. 15 ›› Issue (1): 49-59.

THE EXISTENCE OF PERIODIC SOLUTIONS FOR A CLASS OF FUNCTIONAL DIFFERENTIAL EQUATIONS AND THEIR APPLICATION

赵杰民, 黄克累, 陆启韶

Department of Applied Mathematics and Physics, Peking University of Aeronauties and Astronautics, Beijing, 100083

收稿日期:1992-11-10 出版日期:1994-01-18 发布日期:1994-01-18
基金资助:
Project Supported by the National Science Foundation, the Aviation Science Foundation, and the Research Foundation for Doctorate Programs of Universities.

THE EXISTENCE OF PERIODIC SOLUTIONS FOR A CLASS OF FUNCTIONAL DIFFERENTIAL EQUATIONS AND THEIR APPLICATION

Zhao Jie-min, Huang Ke-lei, Lu Qi-shao

Department of Applied Mathematics and Physics, Peking University of Aeronauties and Astronautics, Beijing, 100083

Received:1992-11-10 Online:1994-01-18 Published:1994-01-18
Supported by:
Project Supported by the National Science Foundation, the Aviation Science Foundation, and the Research Foundation for Doctorate Programs of Universities.

摘要/Abstract

摘要： In this paper. four sufficiency theorems of existence of periodic solutions for aclass of retarded functional differential equations are given. The result of thesetheorems is better than the well-known Yoshizawa's periodic solution theorem. Anexample of application is given at the end.

关键词: retarded functional differential equation, periodic solution, boundedness of solutions

Abstract: In this paper. four sufficiency theorems of existence of periodic solutions for aclass of retarded functional differential equations are given. The result of thesetheorems is better than the well-known Yoshizawa's periodic solution theorem. Anexample of application is given at the end.

Key words: retarded functional differential equation, periodic solution, boundedness of solutions

赵杰民;黄克累;陆启韶. THE EXISTENCE OF PERIODIC SOLUTIONS FOR A CLASS OF FUNCTIONAL DIFFERENTIAL EQUATIONS AND THEIR APPLICATION[J]. Applied Mathematics and Mechanics (English Edition), 1994, 15(1): 49-59.

Zhao Jie-min;Huang Ke-lei;Lu Qi-shao. THE EXISTENCE OF PERIODIC SOLUTIONS FOR A CLASS OF FUNCTIONAL DIFFERENTIAL EQUATIONS AND THEIR APPLICATION[J]. Applied Mathematics and Mechanics (English Edition), 1994, 15(1): 49-59.

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THE EXISTENCE OF PERIODIC SOLUTIONS FOR A CLASS OF FUNCTIONAL DIFFERENTIAL EQUATIONS AND THEIR APPLICATION

THE EXISTENCE OF PERIODIC SOLUTIONS FOR A CLASS OF FUNCTIONAL DIFFERENTIAL EQUATIONS AND THEIR APPLICATION

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