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About some new generalizations of bellman-bihari results for integro-functional inequalities with discontinuous functions and applications. (English) Zbl 1239.26014
Summary: We present some new nonlinear Bellman-Bihari type integral inequalities with delay for discontinuous 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.

MSC:
26D15 Inequalities for sums, series and integrals
34K45 Functional-differential equations with impulses
34K20 Stability theory of functional-differential equations
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