期刊文献+

非线性MDDEs的单支方法的稳定性 被引量:4

Stability of One-leg Methods of Nonlinear Multi-delays Differential Equations
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摘要 给出非线性多延迟微分方程 (MDDEs)渐近稳定的一个充分条件 ,同时 ,将文 [1]的部分工作由单延迟推广到多延迟的情形 ,并获得了较好的理论结果 . In this paper,we gave a sufficient condition of asymptotic stability for nonlinear multi-delays differential equations,and then,we discuss the case of many delays which depends on the base of the part work in the thesis Huang [1] and gain some same results.
出处 《吉首大学学报》 2000年第1期25-29,共5页
基金 国家自然科学基金资助项目!(198710 70 )
关键词 非线性多延迟微分方程 单支方法 GR-稳定 GAR-稳定 渐近稳定性 非线性稳定性 multi-delays differential equations one-leg methods GR-stable GAR-stable
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参考文献8

  • 1[1] HUANG Cheng-ming.Numerical Analysis of Nonlinear Delay Different ial Equations[D].Ph.D.Thesis.Graduate School of China Academy of Engineering P hysics.,1999. 被引量:1
  • 2[2] TIAN H J,KUANG J X.The Stability of the θ-methods in the Numerica l Solut ion of Delay Differential Equations with Several Delay Terms[J].J.Comput.Appl. Math.,1995,58:171~181. 被引量:1
  • 3匡蛟勋,鲁连华,田红炯.非线性滞后微分方数值方法的稳定性[J].上海师范大 学学报,1993,(3):1-8. 被引量:1
  • 4张诚坚.非线性MDDEs系统的隐式Euler法的稳定性[J].湖南大学学报(自然科学版),1998,25(1):1-4. 被引量:12
  • 5[5] LI Shou-fu.Stability Criteria for One-leg Methods and Linear Multist ep Methos[J].Natur.Sci.Xiantan Uviv.,1987,9:21~27. 被引量:1
  • 6[6] Dahlquis G.G-stability is Equivalent to A-stability[J].BIT,1978,18:384 ~401. 被引量:1
  • 7[7] AL-MUTIB A N.Stability Properities of Numerical Methods for Solvi ng Delay Differential Equations[J].Inter.J.Computer Math.,1984,16:159~168.[ ZK) 被引量:1
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二级参考文献2

  • 1Tian H J,SIAM J Numer Anal,1996年,33卷,3期,883页 被引量:1
  • 2Liu M Z,IMA J Numer Anal,1990年,10期,31页 被引量:1

共引文献11

同被引文献18

  • 1Huang Cheng-ming.Numerical analysis of nonlinear delay differential equations[D].Ph.D.Thesis.Graduate School of china Academy of Engineering Physics.1999. 被引量:1
  • 2G.D.Hu,T.Mitsui.Stability analysis of numerical methods for systems of neutral delay-differential equations[J].B1T,1995,35:504-515. 被引量:1
  • 3Huang chengming,Fu Hongyuan,Li Shoufu,Chen Guangnan.Stability analysis of Runge-Kutta methols for non-linear delay differential equations[J].B1T,1999,39:270-280. 被引量:1
  • 4Zhang Chengjian,Liao Xiaoxin.Asymptotic behavior of multi step Runge-Kutta methods for systems of delay differential equations[J].Acta Mathematice Applicatae Sinica,2001,17(2):240-260. 被引量:1
  • 5HU G D,Mitsui T.Stability analysis of numerical methods for systems of neutral delay differential equations[J].BIT,1995,35:504-515. 被引量:1
  • 6ZHANG Cheng-jian,LIAO Xiao-xin.Asymptotic behavior of multi step Runge-Kutta methods for systems of delay differential equations[J].Acta Mathematice Applicatas Sinica,2001,17(2):240-260. 被引量:1
  • 7HUANG Cheng-ming.Numerical Analysis of Nonlinear Delay Differential Equations[D] .Graduate School of China Academy of Engineering Physics,1999. 被引量:1
  • 8TIAN H.J.KUANG J.X.The stability of the θ-methods in the numerical solution of delay differential equations with several delay terms[J].comput.appl.math,1995,58:171-181. 被引量:1
  • 9TIAN H J,KUANG J X.The stability of the θ-methods in the numerical solution of delay differential equations with several delay terms[J].Comput Appl Math,1995,58:171-181. 被引量:1
  • 10Huang Cheng-ming. Numerical Analysis of Nonlinear Delay Differential Equations[D]. Ph.D.Thesis. Graduate School of china Academy of Engineering Physics,1999. 被引量:1

引证文献4

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