On positive solutions of one class of evolutionary inclusions of the subdifferential type
Sufficient conditions of the existence of a nonnegative solution are obtained for an evolution inclusion of subdifferential type with multivalued non-Lipschitz perturbation. Under the additional condition of dissipativity, the existence of the global attractor in the class of nonnegative functions is proved.
English version (Springer): Ukrainian Mathematical Journal 63 (2011), no. 4, pp 544-554.
Citation Example: Kapustyan O. V., Shklyar T. B. On positive solutions of one class of evolutionary inclusions of the subdifferential type // Ukr. Mat. Zh. - 2011. - 63, № 4. - pp. 472-480.