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On positive solutions of one class of evolutionary inclusions of the subdifferential type

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Ukrainian Mathematical Journal Aims and scope

We obtain sufficient conditions for the existence of nonnegative solutions of the evolutionary inclusions of subdifferential type with multivalued non-Lipschitz perturbations and, under the additional condition of dissipativity, prove the existence of a global attractor in the class of nonnegative functions.

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Authors and Affiliations

  1. Shevchenko Kyiv National University, Kyiv, Ukraine

    O.V. Kapustyan & T. B. Shklyar

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  1. O.V. Kapustyan
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  2. T. B. Shklyar
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 63, No. 4, pp. 472–480, April, 2011.

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Kapustyan, O., Shklyar, T.B. On positive solutions of one class of evolutionary inclusions of the subdifferential type. Ukr Math J 63, 544–554 (2011). https://doi.org/10.1007/s11253-011-0523-y

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  • DOI: https://doi.org/10.1007/s11253-011-0523-y

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