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Existence results for impulsive hyperbolic differential inclusions |
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| Authors: | M Benchohra L Gòrniewicz SK Ntouyas? A Quahab |
| Institution: | 1. Laboratoire de Mathématiques , Université de Sidi Bel Abbès , BP 89, 22000 Sidi Bel Abbès, Algérie;2. Faculty of Mathematics and Computer Sciences , Nicholas Copernicus University , Chopina 12/18, 87-100 Torun, Poland;3. Department of Mathematics , University of Ioannina , 451 10 Ioannina, Greece |
| Abstract: | In this article we investigate the existence of solutions for second order impulsive hyperbolic differential inclusions in separable Banach spaces. By using suitable fixed point theorems, we study the case when the multi-valued map has convex and non-convex values. |
| Keywords: | Impulsive hyperbolic differential inclusions Fixed point Measurable selections Compact map Contraction map Banach space AMS (MOS) Subject Classifications 34A37 3460 34G20 35R10 47H20 |