Advances in Difference Equations (Jan 2011)

Gronwall-type integral inequalities with impulses on time scales

  • Kang Ying,
  • Yuan Mingxiu,
  • Huang Rongfeng,
  • Yang Liu,
  • Peng Y

Journal volume & issue
Vol. 2011, no. 1
p. 26

Abstract

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Abstract In this article, some Gronwall-type integral inequalities with impulses on time scales are investigated. Our results extend some known dynamic inequalities on time scales, unify and extend some continuous inequalities and their corresponding discrete analogues. Some applications of the main results are given in the end of this article. AMS (MOS) Subject Classification 34D09; 34D99, 37M10, 35D05, 49K25, 90C46.

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