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

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

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

  1. 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.

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

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