Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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ON SOME NONLINEAR INTEGRAL INEQUALITIES ON TIME SCALES

  • Choi, Sung Kyu (Department of Mathematics Chungnam National University) ;
  • Koo, Namjip (Department of Mathematics Chungnam National University)
  • Received : 2012.09.01
  • Accepted : 2013.01.10
  • Published : 2013.02.15
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Abstract

In this paper we study some nonlinear Pachpatte type integral inequalities on time scales by using a Bihari type inequality. Our results unify some continuous inequalities and their corresponding discrete analogues, and extend these inequalities to dynamic inequalities on time scales. Furthermore, we give some examples concerning our results.

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