Displaying similar documents to “On a nonlocal Cauchy problem for differential inclusions.”

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.

A strong relaxation theorem for maximal monotone differential inclusions with memory

Nikolaos S. Papageorgiou (1994)

Archivum Mathematicum

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We consider maximal monotone differential inclusions with memory. We establish the existence of extremal strong and then we show that they are dense in the solution set of the original equation. As an application, we derive a “bang-bang” principle for nonlinear control systems monitored by maximal monotone differential equations.