期刊文献+

一类中立型随机变时滞微分方程的稳定性

The Stability of a Kind of Neutral Stochastic Delay Differential Equation
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摘要 本文利用不动点定理,考虑了一类中立型随机变时滞微分方程,给出了零解均方渐近稳定的条件,改进和推广了一些相关文献的结果。 The paper uses the fixed point theorem to consider a kind of neutral stochastic delay differential equation, provides some asymptotically stable conditions of zero solution and mean square, and improves and promotes some results of the relevant literature.
作者 张有存
出处 《科教导刊》 2013年第13期181-182,共2页 The Guide Of Science & Education
关键词 稳定性 不动点 时滞随机微分方程 stability fixed point stochastic delay differential equation
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参考文献8

  • 1BURTON T A. Perron-type stability theorems for neutral equations[J]. Non-linear Anal, 2003.55(3):285-297.
  • 2BURTON T A, ZHANG B. Fixed points and stability of an integral equation:nonuniqueness[I]. Appl Math Lett, 2004.17(7):839-846.
  • 3BURTON T A. Fixed points and stability of a nonconvolution equation[J].Proc Amer Math Soc, 2004.132(12):3679-3687.
  • 4LUO J W. Fixed points and stability of neutral stochastic delay differentialequationsEJ]. J Math Anal Appl, 2007.334(1):431-440.
  • 5JIN C H, LUO J W. Stability in functional differential equations establishedusing fixed point theory[J], Nonlinear Anal, 2008.68(11):3307-3315.
  • 6ZHANG B. Fixed points and stability in differential equations with variabledelays[J], Nonlinear Anal, 2005.63(30):e233-e242.
  • 7BURTON T A, FURUMOCHI T. Asymptotic behavior of solutions of func-tional differentiale quations by fixed point theorems[J]. Dynam SyBtems Appl,2002.11(4):499-519.
  • 8ARDJOUNIA , DJOUDIA . Fixed points and stability in neutral nonlineardifferential equations with variable delays EJ]. Opuscula Math, 2012.32(1):5-19.

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