Periodic Solutions for a Class of Neutral Functional Differential Equations with Distributed and Discrete Delays

Chinese Quarterly Journal of Mathematics ›› 2012, Vol. 27 ›› Issue (4): 485-494.

Periodic Solutions for a Class of Neutral Functional Differential Equations with Distributed and Discrete Delays

School of Mathematical Sciences, Anhui University

Received:2010-11-30 Online:2012-12-30 Published:2023-03-14
About author:ZHOU Zong-fu(1964-), male, native of Hefei, Anhui, a professor of Anhui University, M.S.D., engages in functional differential equations(foundation mathematics); ZENG Li(1985-), male, native of Ganzhou, Jiangxi, M.S.D., engages in functional differential equations(foundation mathematics).
Supported by:
Supported by the National Natural Science Foundation of China(11071001)； Supported by the NSF of Education Bureau of Anhui Province(KJ2009A005Z,KJ2010ZD02,2010SQRL159)； Supported by the 211 Project of Anhui University(KJTD002B)； Supported by the Natural Science Foundation of Anhui Province(1208085MA13)

Abstract

Abstract: Based on Krasnoselskii’s fixed point theorem, matrix measure and functional analysis methods, some new sufficient conditions for the existence of periodic solutions of neutral functional differential equations with distributed and discrete delays are obtained. Moreover, we construct an example to illustrate the feasibility of our results.

Key words: neutral functional differential equation, infinite distributed delay, discrete delays, Krasnoselskii's fixed point theorem, periodic solutions

CLC Number:

O175.6

ZHOU Zong-fu, ZENC Li, JIA Bao-rui, XU Jian-zhong. Periodic Solutions for a Class of Neutral Functional Differential Equations with Distributed and Discrete Delays[J]. Chinese Quarterly Journal of Mathematics, 2012, 27(4): 485-494.

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Periodic Solutions for a Class of Neutral Functional Differential Equations with Distributed and Discrete Delays

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