On some properties of dissipative functional differential inclusions in a Banach space

Valeri Obukhovskiĭ, Pietro Zecca

DOI: http://dx.doi.org/10.12775/TMNA.2000.025

Abstract


For a semilinear functional differential inclusion of the form
$$
y'(t) \in Ay(t0+f(t, x_t)
$$
satisfying a dissipativity condition in a separable Banach space we prove
the existence of a periodic solution and a global compact attractor.

Keywords


Functional differential inclusion; dissipativity; periodic solution; attractor; translation multioperator; fixed point

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