Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

The distributional Henstock-Kurzweil integral and measure differential equations

Document Type : Research Paper

Authors
1 ollege of Science, Hohai University, Nanjing 210098, P. R. China
2 College of Science, Hohai University, Nanjing 210098, P. R. China
Abstract
In the present paper, measure differential equations involving the distributional Henstock-Kurzweil integral are investigated. Theorems on the existence and structure of the set of solutions are established by using Schauder$^\prime s$ fixed point theorem and Vidossich theorem. Two examples of the main results paper are presented. The new results are generalizations of some previous results in the literatures.
 
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  • Receive Date 24 October 2013
  • Revise Date 23 January 2014
  • Accept Date 02 March 2014