Authors: Stević, Stevo 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Solutions of a system of functional differential equations in a right neighborhood of zero
Journal: Applied Mathematics and Computation
Volume: 219
Issue: 3
First page: 1011
Last page: 1019
Issue Date: 15-Oct-2012
Rank: M21
ISSN: 0096-3003
DOI: 10.1016/j.amc.2012.07.005
Abstract: 
We give some sufficient conditions for the system of nonlinear functional differential equations x' (qt)= x' (t)+F(t,x(t),x(φ 1(qt, x(φ 2(qt,⋯x(φ k(qt,x(qt)))⋯)))), x'(g(t))),where q ∈(0,1) and functions F:[0,T]×ℝ n×ℝ n×ℝ n→ℝ n, φ j:[0,T]×ℝ n→[0,T],j=1,k and g:[0,T]→[0,T] are continuous, for the unique existence of continuously differentiable solutions x(t) on the interval [0,T],0
Keywords: Continuously differentiable solutions | Iterated deviating argument | Right neighborhood of zero | System of functional differential equations
Publisher: Elsevier

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