Multiple Solutions for Impulsive Semilinear Functional and Neutral Functional Differential Equations in Hilbert Space
نویسندگان
چکیده
This paper is concerned with the existence of mild solutions of some classes of initial value problem for firstand second-order impulsive semilinear functional and neutral functional differential equations. Initially, we will consider initial value problems for firstorder impulsive semilinear functional differential equations y′(t)−Ay(t) = f (t, yt), a.e. t ∈ J := [0,b], t = tk, k = 1, . . . ,m, ∆y|t=tk = Ik ( y ( t− k )) , k = 1, . . . ,m, y(t) = φ(t), t ∈ [−r,0], (1.1)
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