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Stability of Global Attractors of Impulsive Infinite-Dimensional Systems

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Ukrainian Mathematical Journal Aims and scope

We prove the stability of global attractor for an impulsive infinite-dimensional dynamical system. The obtained abstract results are applied to a weakly nonlinear parabolic equation whose solutions are subjected to impulsive perturbations at the times of crossing a certain surface of the phase space.

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Authors and Affiliations

  1. Shevchenko Kyiv National University, Kyiv, Ukraine

    O. V. Kapustyan, M. O. Perestyuk & I. V. Romanyuk

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  1. O. V. Kapustyan
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  2. M. O. Perestyuk
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  3. I. V. Romanyuk
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 70, No. 1, pp. 29–39, January, 2018.

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Kapustyan, O.V., Perestyuk, M.O. & Romanyuk, I.V. Stability of Global Attractors of Impulsive Infinite-Dimensional Systems. Ukr Math J 70, 30–41 (2018). https://doi.org/10.1007/s11253-018-1486-z

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  • DOI: https://doi.org/10.1007/s11253-018-1486-z

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