Gronwall-type integral inequalities with impulses on time scales

• Main Authors: Kang Ying, Yuan Mingxiu, Huang Rongfeng, Yang Liu, Peng Y
• Format: Article
• Language: English
• Published: SpringerOpen 2011-01-01
• Series: Advances in Difference Equations
• Subjects: Time scales; Integral inequalities; Impulse
• Online Access: http://www.advancesindifferenceequations.com/content/2011/1/26
• ISSN: 1687-1839; 1687-1847

<p>Abstract</p> <p>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.</p> <p> <b>AMS (MOS) Subject Classification </b>34D09; 34D99, 37M10, 35D05, 49K25, 90C46.</p>