Asymptotic behaviour of reaction–diffusion equations with non-damped impulsive effects |
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| Authors: | G Iovane AV Kapustyan J Valero |
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| Institution: | 1. Department of Engineering, Informatics and Applied Mathematics, University of Salerno, Ponte don Melillo str., 84084 Fisciano (Salerno), Italy;2. Department of Mathematics and Mechanics, Kiev Taras Shevchenko University, Volodymyrska str., 01033, Kiev, Ukraine;3. Centro de Investigación Operativa, Universidad Miguel Hernández, Avda Universidad s/n, 03202 Elche, Alicante, Spain |
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| Abstract: | In this paper we consider non-autonomous reaction–diffusion systems with impulsive effects at fixed moments of time from the point of view of the theory of global attractors. For a translation-compact nonlinear term which does not provide the uniqueness of the Cauchy problem, and for different classes of non-damped multivalued impulse perturbations, we construct a multivalued non-autonomous dynamical system and prove for it the existence of a compact global attractor. |
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| Keywords: | 35B40 35B41 35K55 35K57 37B25 58C06 |
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