期刊文献+

非线性延迟微分方程线性多步方法的收缩性 被引量:8

Contractivity of Linear Multitep Methods Nonlinear Delay Differential Equations
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摘要 修正了现有文献中关于延迟微分方程理论解稳定性结果的证明过程. This paper is concerned with the contractivity of the theoretical solution and numerical solutions of delay differential equations (DDES).The proofs of the existed stability results for a class of nonlinear DDES are modified.In addition,numerical stability and asymptotical stability are discussed for a class of linear multistep methods applied to this systems.
作者 黄乘明
出处 《湘潭大学自然科学学报》 CAS CSCD 1999年第3期4-6,共3页 Natural Science Journal of Xiangtan University
基金 国家自然科学基金
关键词 延迟微分方程 线性多步法 稳定性 收缩性 非线性 Delay differentcal equations,Linear multistep methods,Contractivity
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参考文献1

二级参考文献2

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

共引文献11

同被引文献35

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引证文献8

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