J4 ›› 2012, Vol. 50 ›› Issue (03): 452-.

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Darboux Problem and the DistributionalHenstockKurzweil Integral

 WANG Ying, YE Guoju, LIU Wei, ZHOU Xueyuan   

  1. College of Sciences, Hohai University, Nanjing 210098, China
  • Received:2011-07-06 Online:2012-05-26 Published:2012-05-28
  • Contact: YE Guoju E-mail:yegj@hhu.edu.cn

Abstract:

Using the fixed point theorem and the properties of the distributional HenstockKurzweil integral, we investigated the existence of extremal solutions of the Darboux problem, as well as their dependence on the distributions.

Key words: distributional HenstockKurzweil integral, Darboux problem, fixed point, minimal and maximal solutions

CLC Number: 

  • O172.2