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一阶变系数线性微分方程系统的Hyers-Ulam稳定性(英文) 被引量：4

Hyers-Ulam Stability of a System of First-Order Linear Differential Equations with Variable Coefficients
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摘要 通过基解矩阵的指数二分性证明了一阶变系数微分方程的Hyers-Ulam稳定性,推广了已有结论. S. M. Jung investigated the Hyers Ulam stability of a system of first order linear differential equations with constant coefficients by discussing the eigenvalues of matrix. Using the exponential dichotomy of fundamental solution matrix, this paper proves the Hyers-Ulam stability of first-order differential equations with variable coefficients and generalizes the previous conclusions.
作者 辛邦颖 许明勇
机构地区 西昌学院数理系 四川大学数学学院
出处 《西南大学学报（自然科学版）》 CAS CSCD 北大核心 2009年第7期69-74,共6页 Journal of Southwest University(Natural Science Edition)
基金 四川省教育厅科研基金资助项目(SB06004).
关键词 变系数微分方程 微分方程系统 稳定性 一阶 线性 指数二分性 基解矩阵 Hyers Ulam stability differential equation fundamental solution matrix exponential dichotomy
分类号 O241.8 [理学—计算数学] O175.14 [理学—基础数学]
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参考文献10

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同被引文献32

  • 1ZHANG Yun LIU Yun-Gang LI Yan-Fang.Observer-based Output-feedback Stabilization Control Design for a Class of Nonlinear Uncertain Systems[J].自动化学报,2006,32(1):101-106. 被引量：3
  • 2苟清明,王稳地.一类有迁移的传染病模型的稳定性[J].西南师范大学学报（自然科学版）,2006,31(1):18-23. 被引量：6
  • 3YU Yue-xin, LI Shou-fu. Stability Analysis of Nonlinear Functional Differential and Functional Equations [J]. Appl Math Lett, 2009, 22(4):787--791.
  • 4XIA Yong-hui, HUANG Zheng-kun, HAN Mao-an. Existence of Almost Periodic Solutions For Forced Perturbed Sys tems with Pieeewise Constant Argument [J]. J Math Anal Appl, 2007, 333(2): 798--816.
  • 5PINTO M. Asymptotic Equivalence of Nonlinear and Quasilinear Differential Equations with Piecewise Constant Arguments[J].MathComput Model, 2009, 49(9--10): 1750--1758.
  • 6AKHMET M U. On the Reduction Principle for Differential Equations with Piecewise Constant Argument of Generalized Type[J]. J Math AnalAppl, 2007, 336(1): 646--663.
  • 7DAI L, FAN L. Analytical and Numerical Approaches to Characteristics of Linear and Nonlinear Vibratory Systems Un der Piecewise Discontinuous Disturbances [J]. Commun Nonlinear Sci Numer Simul, 2004, 9(4): 417- 429.
  • 8GURCAN F, BOZKURT F, Global Stability in a Population Model with Piecewise Constant Arguments [J]. J Math Anal Appl, 2009, 360(1): 334--342.
  • 9WIENER J. Generalized Solutions of Functional Differential Equations [M]. Singapore: World Scientific, 1993: 1--80.
  • 10LIU M Z, SONG M H, YANG Z W. Stability of Runge-Kutta Methods in the Numerical Solution of Equation u'(t)= au (t)+a0u([t]) [J].J Comput Appl Math, 2004, 166(2):361--370.

引证文献4

二级引证文献4

西南大学学报（自然科学版）
2009年 第7期

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