2017
Том 69
№ 6

All Issues

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

Kapustyan O. V., Shklyar T. B.

Full text (.pdf)


Abstract

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.

Full text