Acta mathematica scientia,Series A ›› 2001, Vol. 21 ›› Issue (4): 466-471.
• Articles • Previous Articles Next Articles
PENG Shi-Guo, XIE Xiang-Sheng
Online:
Published:
Supported by:
广东省自然科学基金资助项目
Abstract:
利用重合度理论中的延拓定理和Lyapunov泛函方法讨论一类具有分布滞量的微分系统狓(狋)= 犃(狋)狓(狋)+∫0-狉犳(狋,狊,狓狋+狊))d狊的周期解的存在性和全局吸引性,得到了便于应用的新结果.
Key words: 分布滞量, 微分系统, 周期解, 重合度, 全局吸引性
CLC Number:
PENG Shi-Guo, XIE Xiang-Sheng. Periodic Solutions and Global Attractivity of a Class of Differential Systems with Distributed Delay[J].Acta mathematica scientia,Series A, 2001, 21(4): 466-471.
0 / / Recommend
Add to citation manager EndNote|Reference Manager|ProCite|BibTeX|RefWorks
URL: http://121.43.60.238/sxwlxbA/EN/
http://121.43.60.238/sxwlxbA/EN/Y2001/V21/I4/466
1 赵晓强.非自治系统的周期解.应用数学学报,1988,11(1):30-39 2 李黎明.一类高维非自治系统的周期解.应用数学学报,1989,12(3):272-280 3 王克.一类具偏差变元的微分方程的周期解.数学学报,1994,37(3):409-413 4 曹进德,李永昆.具时滞的高阶周期系统周期解的存在性与唯一性.数学学报,1997,40(2):280-286 5 曹进德,李琼.一类高维时滞微分方程的周期解.数学研究与评论,1999,19(2):401-408 6 秦元勋,刘永清,王联,郑祖庥.带有时滞的动力系统的运动稳定性.第二版,北京:科学出版社,1989 7 GainesR E,MawhinJL.Coincidencedegree,andNonlinearDifferentialEquations.New York:SpringerVerlag,1977 8 GopalsamyK.Stabilityandoscillationindelayequationofpopulationdynamics.Dordrecht:KluwerAcademicPublishers,1992
Cited
Solutions of Initial Value Problems for Second-order Nonlinear Impulsive Integro-differential Equations