期刊文献+

比较原理和无限时滞随机泛函微分方程解的稳定性

Comparison Principle and Stability of Stochastic Functional Differential Equations with Infinite Delay
下载PDF
导出
摘要 为无限时滞随机泛函微分方程建立一个新的比较原理,再利用该比较原理得到上述方程的(h0,h)-稳定性的判据. In this paper, a new comparison principle for stochastic functional differential equations with infinite delay is established. Then, using this comparison principle, the researchers obtain (h0,h)- stability for this kind of equations.
出处 《广东工业大学学报》 CAS 2015年第4期88-91,共4页 Journal of Guangdong University of Technology
基金 国家自然科学基金资助项目(11201083) 大学生创新训练项目(1184513257)
关键词 比较原理 (h0 h)-稳定性 无限时滞 comparison principle ( h0, h) - stability infinite delay
  • 相关文献

参考文献4

二级参考文献13

  • 1罗交晚,邹捷中,侯振挺.Comparison principle and stability criteria for stochastic differential delay equations with Markovian switching[J].Science China Mathematics,2003,46(1):129-138. 被引量:12
  • 2沈轶,江明辉,廖晓昕.随机中立型泛函微分方程的Lasalle定理[J].控制理论与应用,2006,23(2):221-224. 被引量:3
  • 3ZHANG Bo. Fixed points and stability in differential equations with variable delays [J]. Nonlinear Anal., 2005, 63: 233-242.
  • 4WEI Fengying, WANG Ke. The existence and uniqueness of the solution for stochastic functional differential equations with infinite delay [J]. J. Math. Anal. Appl., 2007, 331(1): 516-531.
  • 5LUO Jiaowan. Fixed points and stability of neutral stochastic delay differential equations [J]. J. Math. Anal. Appl., 2007, 334(1): 431-440.
  • 6HONG Shihuang, HU Shigeng. Convergence of solutions of functional-differentied equations with infinite delay [J]. Math. Appl. (Wuhan), 1998, 11(2): 122-127.
  • 7HU Shigeng. Functional integral equations with infinite delay [J]. Chinese Ann. Math. Ser. A, 1994, 15(5): 563-569.
  • 8MAO Xuerong. Exponential stability in mean square of neutral stochastic differential-functional equations [J]. Systems Control Lett., 1995, 26(4): 245-251.
  • 9MAO Xuerong. Stochastic Differential Equations and Their Applications [M]. Horwood Publishing Limited, Chichester, 1997.
  • 10RAFFOUL Y N. Periodic solutions for neutral nonlinear differential equations with functional delay [J]. Electron. J. Differential Equations, 2003, 102: 1-7.

共引文献26

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