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时间尺度上泛函微分方程的严格Ф_0稳定性

Strict Ф_0 Stability for Functional Differential Equations on Time Scales
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摘要 利用李雅普诺夫函数和比较原理讨论了时间尺度上泛函微分方程的严格Ф0稳定性问题. This paper gives some strict Ф0 stability criteria for functional differential equation via Lyapunov function method and comparison principal on time scales.
出处 《数学的实践与认识》 CSCD 北大核心 2007年第21期176-179,共4页 Mathematics in Practice and Theory
关键词 时间尺度 泛函微分方程 一致严格Ф0等度稳定 一致严格Ф0渐近稳定 time scales functional differential equation uniformly strict Ф0-stability uniformly strict Ф-asymptotical stability
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参考文献5

  • 1Lakshimikantham V, Sivasundaram S, Kaymakcalan B. Dynamic Systems on Measure Chains[M]. Dordrecht: Kluwer Academic Publishers, 1996.
  • 2Wang P G, Liu X. Practical stability of impulsive hybrid differential systems in terms of two measures on time scales[J]. Nonlinear Analysis, 2006,65 : 2035-2042.
  • 3Wang P G, Liu X. New comparison principle and stability criteria for impulsive hybrid systems on time scales[J]. Nonlinear Analysis: RWA, 2006,7: 1096-1103.
  • 4Wang P G, Lian H R. Stability in terms of two measures impulsive integro-differential equations via variation of the Lyapunov method[J]. Appl Math Comput, 2006,177 (2) : 387-395.
  • 5Soliman A A. On total φ0-stability of nonlinear systems of differential equations[J]. Appl Math Comput,2002, 130:29-38.

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