Global Attractor for Impulsive Reaction-Diffusion Equation |
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Authors: | G Iovane O V Kapustyan |
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Institution: | (1) University of Salerno, Fisciano (Salerno), Italy;(2) Shevchenko Kiev University, Kiev, Ukraine |
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Abstract: | In this paper, we consider a reaction-diffusion equation with nonsmooth nonlinearity whose solutions have impulse effects
at fixed moments of time. We show how this object generates a nonautonomous multivalued dynamical system and prove the existence
of a compact semiinvariant global attractor in the phase space.
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Published in Neliniini Kolyvannya, Vol. 8, No. 3, pp. 319–328, July–September, 2005. |
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