# 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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### History

• Receive Date: 24 October 2013
• Revise Date: 23 January 2014
• Accept Date: 02 March 2014