Existence results for a second order impulsive functional differential equation with state-dependent delay
نویسندگان
چکیده
منابع مشابه
Existence Results for a Second Order Impulsive Functional Differential Equation with State–dependent Delay
In this paper, we study existence of mild solutions for a second order impulsive neutral functional differential equations with state-dependent delay. By using a fixed point theorem for condensing maps combined with theories of a strongly continuous cosine family of bounded linear operators, we prove the main existence theorems. As applications of these obtained results, some practical conseque...
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respectively, where F : [0,T]×D→ (Rn) is amultivaluedmap,D = {ψ : [−r,0]→Rn; ψ is continuous everywhere except for a finite number of points t̃ at which ψ(t̃−) and ψ(t̃+) exist with ψ(t̃−)= ψ(t̃)}, φ ∈D, p : [0,T]→R+ is continuous, η ∈Rn, (Rn) is the family of all nonempty subsets of Rn, 0 < r < ∞, 0 = t0 < t1 < ··· < tm < tm+1 = T , Ik, Jk : Rn → Rnk = 1, . . . ,m are continuous functions. y(t− k )...
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ژورنال
عنوان ژورنال: Differential Equations & Applications
سال: 2009
ISSN: 1847-120X
DOI: 10.7153/dea-01-17