About some new generalizations Bellman-Bihari results for integro-functional inequalities with discontinuous functions and applications

Some new nonlinear Bellman-Bihari type integral inequalities with delay for discontinuous functions (integro-sum inequalities, impulse integral inequalities) are presented. 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