In this study, some generalizations and refinements of some inequalities of Pachpatte and Bellman-Bihari types are established on arbitrary time domains using the time scale theory. The obtained results unify continuous and discrete inequalities and extend some results known in the literature. The paper ends up with two illustrative examples to highlight the utility of our results.
|Original language||English (US)|
|Number of pages||14|
|Journal||Nonlinear Dynamics and Systems Theory|
|State||Published - Jan 1 2017|