# ASYMPTOTIC BEHAVIOUR OF SOLUTIONS OF DIFFERENCE EQUATIONS IN BANACH SPACES

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Several fundamental results on existence and flow-invariance of solutions to the nonlinear nonautonomous partial differential delay equation u(t) + B(t)u(t) ? F(t;ut), 0 = s = t, us = phi;, with B(t) ? X x X w-accretive, are developed for a general Banach space X. In contrast to existing...

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This paper is to generalize the results of Zhang and Chen[1]. We construct a topological degree for a class of mappings of the form F=L+S where L is closed densely defined maximal monotones operator and S is a nonlinear multivalued map of class (S+) with respect to the domain of L.