Title | ||
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Solutions of a system of functional differential equations in a right neighborhood of zero. |
Abstract | ||
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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 |
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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 |
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Stevo Stevic | 1 | 373 | 42.15 |