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Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (1): 100-106.

• Articles • Previous Articles     Next Articles

2T-PERIODIC SOLUTION FOR m ORDER NEUTRAL TYPE DIFFERENTIAL EQUATIONS WITH TIME DELAYS

ZHANG Bao-sheng, ZHU Guang-hui   

  1. Department of Mathematics, Yunnan Nationalities Institute, Kunming 650031, P. R. China
  • Received:1999-05-31 Revised:2001-08-20 Online:2002-01-18 Published:2002-01-18
  • Supported by:

    the Natural Science Foundation of Yunnan Education Committee(990002)

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Abstract: Periodic solution of m order linear neutral equations with constant coefficient and time delays was studied. Existence and uniqueness of 2T-periodic solutions for the equation were discussed by using the method of Fourier series. Some new necessary and sufficient conditions of existence and uniqueness of 2T-periodic solutions for the equation are obtained. The main result is used widely. It contains results in some correlation paper for its special case, improves and extends the main results in them. Existence of periodic solution for the equation in larger number of particular case can be checked by using the result, but cannot be checked in another paper. In other words, the main result in this paper is most generalized for (1), the better result cannot be found by using the same method.

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