Displaying similar documents to “On the existence of solutions for nonlinear impulsive periodic viable problems”

On the existence of periodic solutions for nonconvex differential inclusions

Dimitrios Kravvaritis, Nikolaos S. Papageorgiou (1996)

Archivum Mathematicum

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Using a Nagumo type tangential condition and a recent theorem on the existence of directionally continuous selector for a lower semicontinuous multifunctions, we establish the existence of periodic trajectories for nonconvex differential inclusions.

On initial value problems for a class of first order impulsive differential inclusions

Mouffak Benchohra, Abdelkader Boucherif, Juan J. Nieto (2001)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

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We investigate the existence of solutions to first order initial value problems for differential inclusions subject to impulsive effects. We shall rely on a fixed point theorem for condensing maps to prove our results.

On nonresonance impulsive functional nonconvex valued differential inclusions

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

Commentationes Mathematicae Universitatis Carolinae

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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 Semicontinuity in Impulsive Dynamical Systems

Krzysztof Ciesielski (2004)

Bulletin of the Polish Academy of Sciences. Mathematics

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In the important paper on impulsive systems [K1] several notions are introduced and several properties of these systems are shown. In particular, the function ϕ which describes "the time of reaching impulse points" is considered; this function has many important applications. In [K1] the continuity of this function is investigated. However, contrary to the theorem stated there, the function ϕ need not be continuous under the assumptions given in the theorem. Suitable examples are shown...