Existence results for impulsive neutral functional differential inclusions
نویسندگان
چکیده
منابع مشابه
Existence Results for Impulsive Partial Neutral Functional Differential Inclusions
In this paper we prove existence results for first order semilinear impulsive neutral functional differential inclusions under the mixed Lipschitz and Carathéodory conditions.
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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 )...
متن کاملExistence Results for Non-densely Defined Impulsive Neutral Functional Differential Inclusions with State-dependent Delay
V. Kavitha,M. Mallika Arjunan ∗ C. Ravichandran 1 Department of Mathematics, Karunya University, Karunya Nagar,Coimbatore-641 114, Tamil Nadu, India Department of Mathematics, Karunya University, Karunya Nagar,Coimbatore641 114, Tamil Nadu, India Department of Mathematics, Karunya University, Karunya Nagar,Coimbatore641 114, Tamil Nadu, India (Received 27 Sepember 2011 , accepted 17 April 2012)
متن کاملExistence Results for Fractional Impulsive Neutral Functional Differential Equations
This paper is mainly concerned with the existence of solutions of impulsive fractional neutral functional differential equations in Banach Spaces. The results are obtained by using Krasnoselskii’s fixed point theorem.
متن کاملExistence and continuous dependence for fractional neutral functional differential equations
In this paper, we investigate the existence, uniqueness and continuous dependence of solutions of fractional neutral functional differential equations with infinite delay and the Caputo fractional derivative order, by means of the Banach's contraction principle and the Schauder's fixed point theorem.
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ژورنال
عنوان ژورنال: Topological Methods in Nonlinear Analysis
سال: 2005
ISSN: 1230-3429
DOI: 10.12775/tmna.2005.017