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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