Title
Solutions of a system of functional differential equations in a right neighborhood of zero.
Abstract
We give some sufficient conditions for the system of nonlinear functional differential equationsx′(qt)=x′(t)+F(t,x(t),x(φ1(qt,x(φ2(qt,…x(φk(qt,x(qt)))…)))),x′(g(t))),where q∈(0,1) and functions F:[0,T]×Rn×Rn×Rn→Rn, φj:[0,T]×Rn→[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<T<∞, satisfying the condition x(0)=0.
Year
DOI
Venue
2012
10.1016/j.amc.2012.07.005
Applied Mathematics and Computation
Keywords
DocType
Volume
System of functional differential equations,Continuously differentiable solutions,Iterated deviating argument,Right neighborhood of zero
Journal
219
Issue
ISSN
Citations 
3
0096-3003
0
PageRank 
References 
Authors
0.34
10
1
Name
Order
Citations
PageRank
Stevo Stevic137342.15