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On boundedness of solutions of impulsive systems. (English) Zbl 0879.34015

Summary: Boundedness criteria are established for solutions of impulsive systems. A discontinuous Lyapunov function is employed which may increase along the continuous portion of the trajectories providing it undergoes sufficient jump decreases at the impulses. Alternatively, the Lyapunov function may increase at the impulses providing it decreases between them.

MSC:

34A37 Ordinary differential equations with impulses
34C11 Growth and boundedness of solutions to ordinary differential equations
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