2017
Том 69
№ 9

All Issues

Global Attractor for a Nonautonomous Inclusion with Discontinuous Right-Hand Side

Kapustyan O. V., Kasyanov P. O.

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Abstract

We consider a nonautonomous inclusion the upper and lower selectors of whose right-hand side are determined by functions with discontinuities of the first kind. We prove that this problem generates a family of multivalued semiprocesses for which there exists a global attractor compact in the phase space.

English version (Springer): Ukrainian Mathematical Journal 55 (2003), no. 11, pp 1765-1776.

Citation Example: Kapustyan O. V., Kasyanov P. O. Global Attractor for a Nonautonomous Inclusion with Discontinuous Right-Hand Side // Ukr. Mat. Zh. - 2003. - 55, № 11. - pp. 1467-1475.

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