Initial and Boundary Value Problems for Second Order Impulsive Functional Differential Inclusions

Abstract

where F : J × D → P (E) is a multivalued map, D = {ψ : [−r, 0] → E; ψ is continuous everywhere except for a finite number of points t̃ at which ψ(t̃) and ψ(t̃) exist and ψ(t̃) = ψ(t̃)}, φ ∈ D, P (E) is the family of all nonempty subsets of E, 0 < r < ∞, 0 = t0 < t1 < . . . < tm < tm+1 = T, Ik : E → E (k = 1, 2, . . . , m), Ik : E → E and η ∈ E. ∆y|t=tk = y… (More)

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