期刊文献+

一阶中立型微分系统周期解的存在性与唯一性

Existence and Uniqueness of Periodic Solutions for a Class of Neutral Differential System
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摘要 利用Krasnoselskii不动点理论,用分析的方法,获得了这一类微分系统周期解存在性与唯一性的充分条件.研究方法异于相关文献中常用的方法,获得的主要结论是新的. using the analytical method and utilizing Krasnoselskii fixed point theory ,this paper qualitative and quantitative study the existence of periodic solutions for a class of neutral differential systems, and obtains some sufficient conditions of existence and uniqueness of periodic solution for this class systems. Our research method is different from the relevant literature,commonly used method, the main conclusions obtained are new, and promote the literature of the main conclusions.
出处 《数学的实践与认识》 CSCD 北大核心 2012年第17期192-198,共7页 Mathematics in Practice and Theory
基金 湖南省自然科学基金(12JJ3007) 湖南省教育科学研究(10C0656 11C0413)
关键词 中立型 微分系统 周期解 存在性 唯一性 不动点理论 neutral differential system periodic solutions existence uniqueness fixed pointtheory
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  • 1王全义.周期解的存在性、唯一性与稳定性[J].数学年刊(A辑),1994,1(5):537-545. 被引量:38
  • 2翁佩萱,梁妙莲.一个造血模型周期解的存在性及其性态[J].应用数学,1995,8(4):434-439. 被引量:12
  • 3马世旺,庾建设.Yoshizawa周期解定理的拓广[J].湖南大学学报(自然科学版),1996,23(6):27-29. 被引量:11
  • 4Komanovskli V. B., Nosov V. R., Stability of functional differential equations, London: Academic.Press, 1986.
  • 5Yang K., Delay differential equations with applications in population dynamical system, New York: Academic Press, 1993.
  • 6Burton T. A., Stability and periodic solution of ordinary and functional differential equations, Orland: Academic Press, FL. 1985.
  • 7Gaines R. E., Mawhin J., Coincide degree and nonlinear differential equations, Lecture Notes in Math., 568,Spring-Verlag, 1977.
  • 8Hale J. K., Theory of functional differential equations, New York: Spring, 1977.
  • 9Hale J. K., Mawhin J., Coincide degree and periodic solutions of neutral equations, J. Differential Equations,1975, 15:295-307 .
  • 10Lu S.P., Ge W. G., On existence of periodic solutions for neutral differential equation, Nonlinear Analysis,2003, 54: 1285-1306.

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