Some Pachpatte type inequalities on time scales

Some Pachpatte type inequalities on time scales

In this paper, using the comparison theorem, we investigate some Pachpatte type integral inequalities on time scales, which provide explicit bounds on unknown functions. Our results extend some known dynamic inequalities on time scales, unify and extend some continuous inequalities and their corresp...

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Veröffentlicht in:Computers & mathematics with applications (1987) 2009, Vol.57 (2), p.275-282
1. Verfasser: Li, Wei Nian
Format: Artikel
Sprache:eng
Schlagworte:
Dynamic equation
Dynamic inequality
Dynamics
Inequalities
Integrals
Mathematical analysis
Mathematical models
Theorems
Time scale
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Beschreibung
Zusammenfassung:In this paper, using the comparison theorem, we investigate some Pachpatte type integral inequalities on time scales, which provide explicit bounds on unknown functions. 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 paper.
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2008.09.040