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On the periodic boundary value problem for fully nonlinear differential equations with finite delay in Banach spaces
In this paper, we consider a periodic boundary value problem for fully nonlinear differential equations with finite delay in a real Banach space gouverned by $m$-accretive operator and, whose forcing term is a Carath\'eodory function. By using the technique of the theory of condensing maps, we give results on the existence and topological structure of the integral solution set. An example is provided to illustrate our results.
Measure of noncompactness; Condensing operator; Nonlinear abstract equation; Accretive operator; Integral solution; Nonlinear semigroup