Abstract
Periodic solution of m order linear neutral equations with constant coefficient and time delays was studied. Existence and uniqueness of 2 T-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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References
ZHANG Yi, ZHANG Yi. On the periodic solutions of second order linear neutral differential equations with constant coefficients [J].Acta Mathematicae Sinica, 1990,33(4):517–520. (in Chinese)
WUAN Gen-qian. Periodic solution of 2 order neutral type equation[J].Acta University Appl Math, 1993,8A(3):251–254. (in Chinese)
CAO Jin-de. On periodic solution of 2 order neutral type equation with time delals[J].J of Math Research and Exposition, 1999,19(1):92–96. (in Chinese)
FEN Zhao-xian. Existence of periodic solution of 2 order neutral type equation[J].Math Research and Exposition, 1997,17(4):553–556. (in Chinese)
SI Jiang-guo. Discussion on the periodic solutions for linear equation of neutral type with constant coefficients[J].Applied Mathematics and Mechanics (English Edition), 1996,17(1):29–37.
ZHANG Bao-sheng, CAO Jin-de. On periodic solutions of higher order neutral type equations[J].J of Biomath, 1999,14(1):50–55 (in Chinese)
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Communicated by ZHANG Hong-qing
Foundation item: the Natural Science Foundation of Yunnan Education Committee (990002)
Biography: ZHANG Bao-sheng (1962-)
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Bao-sheng, Z., Guang-hui, Z. 2T-periodic solution form order neutral type differential equations with time delays. Appl Math Mech 23, 100–106 (2002). https://doi.org/10.1007/BF02437736
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DOI: https://doi.org/10.1007/BF02437736