期刊文献+

非线性泛函微分方程指数稳定的充要条件

下载PDF
导出
摘要 本文研究了非线性泛函微分方程的指数稳定性.利用非负矩阵性质和微分不等式等技巧给出了指数稳定的充要条件.
出处 《南京大学学报(数学半年刊)》 CAS 2004年第1期27-33,共7页 Journal of Nanjing University(Mathematical Biquarterly)
  • 相关文献

参考文献14

  • 1Ahmad S and Rao M R M. Stability of Volterra Diffusion Equations with Time Delays. Appl. Math. Comp. , 1998, 90: 143-154.
  • 2Fukuizumi R. Stability and Instability of Standing Waves for the Nonlinear Schrodinger Equations with Harmonic Potential. Disc. Cont. Dynam. Sys., 2001, 7: 525-544.
  • 3Hale J K and Verduyn Lunel S M. Introduction to Functional Differential Equations. Springer Verlag, New York, 1993.
  • 4Lasalle J P. The Stability of Dynamical Systems. SIAM Philadelphia, 1976.
  • 5Zhang Y, Zhang Y and Wang L. K-Stability on Nonlinear Systems with Delays. Science in Chi ha(Series A), 1994,24: 247-255.
  • 6Zhang Y and Zhang Y. Stability of Nonlinear Analytic Interodifferential Equations. Nonlinear Analysis, 1995,24: 1555-1563.
  • 7Ruess W M and Summers W H. Linerized Stability for英文摘要 Differential Equations with. J.Math. Anal. Appl., 1996, 198: 310-336.
  • 8WangT.Stability in英文摘要 Functional Differential Equations[J].J. Math. Anal. Appl.,1994,186:534-558.
  • 9Siljak D D. Large-Scale Dynamic System: Stability and Structure, Elsevier North Holland. New York, 1978.
  • 10Xu D Y. Uniform Asymptotic Stability in Terms of Two Measures for Functional Differential Equations. Nonlinear Anal., 1996, 27: 413-427.

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