Delay integral inequalities of a coupled system on time scales with applications (Q2912519)

A new linear Gronwall-Bellman inequality on time scales is established. Using this inequality, the authors investigate a class of new power linear and nonlinear delay integral inequalities of a coupled systems on time scales, with suitable initial conditions and obtain explicit bounds on the unknown functions. An application to an initial value problem associated with a two dimensional delay dynamic system is also discussed.