Acta mathematica scientia,Series A

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The Inverse Laplace Transform Theorem of

Henstock-Kurzweil Integrable Function

Su Feng ;Peng Zhigang   

  1. College of Mathematics and Computer Science, Hubei University, Wuhan 430062
  • Received:2005-12-04 Revised:2007-04-11 Online:2007-12-25 Published:2007-12-25
  • Contact: Su Feng

Abstract: In this paper, the Laplace transform ofHenstock-Kurzweil integrable function has been defined. Its analyticity and some of its basic
properties have been discussed. The inverse formula in the sense of the Henstock-Kurzweil integrable is obtained. The authors also give a example to show that the result can not been improved.

Key words: Henstock-Kurzweil integrable function, Laplace transform, Inverse transform.

CLC Number: 

  • 42A38
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