Research Article On Some Generalizations Bellman-Bihari Result for Integro-Functional Inequalities for Discontinuous Functions and Their Applications

We present some new nonlinear integral inequalities Bellman-Bihari type with delay for discontin-uous functions integro-sum inequalities; impulse integral inequalities. Some applications of the results are included: conditions of boundedness uniformly, stability by Lyapunov uniformly, practical stability by Chetaev uniformly for the solutions of impulsive differential and integro-differential systems of ordinary differential equations. Copyright q 2009 A. Gallo and A. M. Piccirillo. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. 1