WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 12, 2013
Generalized Delay Integral Inequalities In Two Independent Variables On Time Scales
Authors: ,
Abstract: In this paper, we discuss some new Gronwall-Bellman type delay integral inequalities in two independent variables on time scales, which contain arbitrary nonlinear items on unknown functions outside the integrals as well as inside the integrals. The inequalities established have different forms compared with the existing Gronwall- Bellman type inequalities so far in the literature. As applications, we research the upper bounds of one certain delay dynamic equation on time scales. New explicit bounds for the solutions are derived with the results established.