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On nonresonance impulsive functional nonconvex valued differential inclusions

Mouffak Benchohra, Johnny Henderson, Sotiris K. Ntouyas (2002)

Commentationes Mathematicae Universitatis Carolinae

In this paper a fixed point theorem for contraction multivalued maps due to Covitz and Nadler is used to investigate the existence of solutions for first and second order nonresonance impulsive functional differential inclusions in Banach spaces.

On numerical solution of ordinary differential equations with discontinuities

Tadeusz Jankowski (1988)

Aplikace matematiky

The author defines the numerical solution of a first order ordinary differential equation on a bounded interval in the way covering the general form of the so called one-step methods, proves convergence of the method (without the assumption of continuity of the righthad side) and gives a sufficient condition for the order of convergence to be O ( h v ) .

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