Problem of Periodic Solutions for Neutral Functional Differential Equation

LU Shi-ping; GE Wei-gao

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LU Shi-ping, GE Wei-gao. Problem of Periodic Solutions for Neutral Functional Differential Equation[J]. Applied Mathematics and Mechanics, 2002, 23(12): 1269-1275.

Citation:

LU Shi-ping, GE Wei-gao. Problem of Periodic Solutions for Neutral Functional Differential Equation[J]. Applied Mathematics and Mechanics, 2002, 23(12): 1269-1275.

Citation:

LU Shi-ping, GE Wei-gao. Problem of Periodic Solutions for Neutral Functional Differential Equation[J]. Applied Mathematics and Mechanics, 2002, 23(12): 1269-1275.

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Problem of Periodic Solutions for Neutral Functional Differential Equation

LU Shi-ping^1,2,
GE Wei-gao¹

1.
Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081, P R China;
2.
Department of Mathematics, Anhui Normal University, Wuhu, Anhui 241000, P R China

Received Date: 2000-09-25
Rev Recd Date: 2002-06-11
Publish Date: 2002-12-15

Abstract

Abstract

The problem of periodic solutions for a kind of k-th order linear neutral functional differential equation is studied. By using the theory of Fourier expansions, a sufficient and necessary condition to guarantee the existence and uniqueness of periodic solution is obtained. Further, by applying this result and Schauder. s fixed point principle, a kind of k-th order nonlinear neutral functional differential equation is investigated, and some new results on existence of the periodic solutions are given as well.These results improve and extend some known results in recent literature.
- neutral functional differential equation,
- fixed point principle,
- periodic solution

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References(8)

References

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