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一类泛涵微分方程的解的有界性和吸引性

Boundedness and Global Attractivity of a Class of Functional Differenlial Equalious
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摘要 研究了一类非自治非线性的泛涵微分方程,运用不动点原理,得到了系统有界性和零解的全局吸引性的充分条件. In the paper, a class of functional differential equations is discussed. By using fixed point theory, we obtain some sufficient conditions which ensure the boundedness and global attractivity of the systems.
作者 谭佳 张泽薇
出处 《新疆大学学报(自然科学版)》 CAS 2007年第3期294-298,共5页 Journal of Xinjiang University(Natural Science Edition)
关键词 非线性泛涵微分方程 不动点理论 有界性 全局吸引性 Nonlinear functional differential equation Fixed point theory Boundedness Attractivity
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参考文献4

  • 1Burton. T A Fixed points, stability, and harmless perturbations[J]. Fixed Point Theory and Appliations, 2005,1: 35-46.
  • 2Burton T A. Stabilty by fixed point theory or lyapunov theory: a comparison [J]. Fixed point Theory, 2003,4(1): 15-32.
  • 3Burton T A. Stabilty by fixed point methods for highly nonlinear delay equations [J]. Fixed point Theory, 2004,5 (1):3-20.
  • 4Burton T A. Fixed point and differential equations with asymptotilally constant or periodic solutions[J]. Electron J Qual Theory Differ Equ, 2004,11 : 31.

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