Abstract:Abstract. In this paper, we present some existence results of solutions and study the topological structure of solution sets for the following first-order impulsive neutral functional differential inclusions with initial condition:where J := [0, b] and 0 = t0 < t1 < . . . < tm < tm+1 = b (m ∈ N * ), F is a set-valued map and g is single map. The functions I k characterize the jump of the solutions at impulse points t k (k = 1, . . . , m). Our existence result relies on a nonlinear alternative for compact u.s.c… Show more
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