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一类处处连续处处不可导函数 被引量:1

On a Class of Function and Non Differen table Everywhere
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摘要 本文应用分形的思想 ,采用逐点定义法 ,给出了一类形式不同于Weierstrass函数 。 An example of a function,Continuous and non-differentiable,is exhibited,using the method of one by one point definition The form of the function is different from Weierstrass functions.
作者 唐家德
出处 《楚雄师专学报》 2000年第3期44-47,共4页 Journal of Chuxiong Normal University
关键词 处处连续 处处不可导函数 分形 Continuous,differentiable.
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参考文献1

  • 1刘胜.一个处处连续处处不可导的函数[J]内蒙古大学学报(自然科学版),1982(02).

同被引文献6

  • 1JACK Hale. Theory of functional differential equations[M]. New York: Springer-Verlag, 1977.
  • 2LU S P, GE W G. On the existence of periodic solutions for neutral functional differential equation[J]. Nonlinear Analysis, TMA, 2003,54: 1285 - 1306.
  • 3LU S P, GE W G. Periodic solutions to a second order nonlinear neutral functional differential equation with multiple deviating arguments in the critical case[J]. Nonlinear Analysis, TMA, 2006,64:1587 - 1607.
  • 4LU S P, GE W G, ZHENG Z X. Periodic solutions to neutral differential equation with deviating arguments[J]. Applied Mathematics and Computation, 2004,152 : 17 - 27.
  • 5LU S P, GE W G. Existence of periodic solutions for a kind of second-order neutral functional differential equation[J]. Applied Mathematics and Computation, 2004,157:433 - 448.
  • 6LU S P, GE W G. Periodic solutions of neutral differential equation with multiple deviating arguments[J]. Applied Mathematics and Computation, 2004,156:705 - 717.

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