PERIODIC SOLUTIONS FOR A TYPE OF NEUTRAL SYSTEM WITH VARIABLE PARAMETERS

Bo Du; Weigao Ge

doi:10.11948/2017083

2017 Volume 7 Issue 4

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Bo Du, Weigao Ge. PERIODIC SOLUTIONS FOR A TYPE OF NEUTRAL SYSTEM WITH VARIABLE PARAMETERS[J]. Journal of Applied Analysis & Computation, 2017, 7(4): 1357-1384. doi: 10.11948/2017083

Citation:

Bo Du, Weigao Ge. PERIODIC SOLUTIONS FOR A TYPE OF NEUTRAL SYSTEM WITH VARIABLE PARAMETERS[J]. Journal of Applied Analysis & Computation, 2017, 7(4): 1357-1384. doi: 10.11948/2017083

PERIODIC SOLUTIONS FOR A TYPE OF NEUTRAL SYSTEM WITH VARIABLE PARAMETERS

Bo Du¹,
Weigao Ge²

1 Department of Mathematics, Huaiyin Normal University, Huaian Jiangsu, 223300, China;
2 Department of Mathematics, Beijing institute of technology, Beijing 100081, China

Fund Project:

Abstract

Abstract

In this paper, we firstly analyze some properties of the linear difference operator[Ax](t)=x(t) -C(t)x(t -τ),where C(t) is a n×n matrix function, and then using Mawhin's continuation theorem, a first-order neutral functional differential system is studied. Some new results on the existence and stability of periodic solutions are obtained. The results are related to the deviating arguments τ and µ. Meanwhile, the approaches to estimate a prior bounds of periodic solutions are different from the corresponding ones of the known literature.
- Periodic solution /
- coincidence degree /
- neutral system
MSC: 34C57;58E05

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References

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