期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

广义反射函数的性态与应用 被引量：9

Properties and Application of Generalized Reflection Function
原文传递
导出
摘要 推广了Mironenko的反射函数的概念,给出了广义反射函数的概念并讨论了广义反射函数的性质,应用它研究了微分系统周期解的存在性和稳定性态.作为应用举例,研究了Riccati方程的反射函数. In this article, we extend the notion of Mironenko＇s reflective function, we establish the notion of the generalized reflective function of differential system and discuss the properties of the generalized reflective function, we apply it to study the existence and stability of the periodic solutions of differential system. As an application example, we find out the Riccati equation.
作者 孙长军
机构地区 连云港职业技术学院数学教研室
出处 《数学的实践与认识》 CSCD 北大核心 2010年第10期222-228,共7页 Mathematics in Practice and Theory
基金 国家自然科学基金(60774073) 江苏省教委自然科学研究基金(BK2007075)
关键词 微分系统 广义反射函数 周期解 Differential system Generalized reflective function Periodic solution
分类号 O175 [理学—基础数学]
  • 相关文献

参考文献11

  • 1Mironenko V I. On the method that allows one to determine the initial data of periodic solution of differential systems and to compare the mappings for a period[J]. Differential Equations, 1980, 14(11): 1985-1994.
  • 2Mironenko V I. Reflecting Function and Periodic Solution of the Differential Equations[M]. University Press, Minsk, 1986, 12-26.
  • 3周正新.微分系统的反射函数与周期解[J].数学进展,2003,32(4):398-404. 被引量：21
  • 4Alisevich L A. On linear system with triangular reflective function[J]. Differ Eq, 1983, 19(8): 1446-1449.
  • 5Veresovich P P. Nonautonomous second order quadratic system equivalent to linear system[J]. Differ Eq, 1998, 14(12): 2257-2259.
  • 6Mironenko V V. Time symmetry Preserving Perturbations of differential systems[J], differential equations, 2004, 40(10): 1395-1403.
  • 7Musafirov E V. Differential systems, the mapping over period for which is represented by a product of three exponential matrixes[J]. Journal of Mathematical Analysis and Applications, 2007, 229(1): 647-654.
  • 8Zhou Zhengxin. Nonlinear reflective function and periodic solution of differential systems[J]. Applied Math Letter, 2004, 7(10): 1121-1125.
  • 9Zhou Zhengxin. Reflecting function and periodic solutions for the quadratic differential system[J]. J Math Anal Appl, 2003, 278(1): 18-26.
  • 10Zhou Zhengxin. The nonlinear reflective function of differential system[J]. Nonlinear Analysis, 2003(53): 733-741.

二级参考文献5

共引文献20

同被引文献70

  • 1孙长军.基于对角广义反射矩阵的线性微分系统及其周期解[J].湖北大学学报（自然科学版）,2012,34(2):226-230. 被引量：1
  • 2周正新,俞元洪.非线性微分系统的Poincare映射与周期解[J].系统科学与数学,2006,26(1):59-68. 被引量：2
  • 3Mironenko V I. On the method that allows one to determine the initial data of periodic solution of differential systems and to compare the mappings for a period[J]. Differential Equations, 1980, 14(11): 1985-1994.
  • 4Mironenko V I. Reflecting Function and Periodic Solution of the Differential Equations[M]. University Press, Minsk, 1986, 12-26.
  • 5Alisevich L A. On linear system with triangular reflective function[J]. Differ Eq, 1983, 19(8): 1446- 1449.
  • 6Veresovich P P. Nonautonomous second order quadratic system equivalent to linear system[J]. Differ Eq, 1998, 14(12): 2257-2259.
  • 7Mironenko V V. Time symmetry preserving perturbations of differential systems[J], differential equations, 2004, 40(10): 1395-1403.
  • 8Musafirov E V. Differential systems, the mapping over period for which is represented by a product of three exponential matrixes[J]. Journal of Mathematical Analysis and Applications, 2007, 229(1): 647-654.
  • 9Zhou Zhengxin. Nonlinear reflective function and periodic solution of differential systems[J]. Applied Math Letter, 2004, 7(10): 1121-1125.
  • 10Zhou Zhengxin. The nonlinear reflective function of differential system[J]. Nonlinear Analysis, 2003, 53: 733-741.

引证文献9

二级引证文献11

数学的实践与认识
2010年 第10期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部