Helena Samajova, Eva Spanikova, Julio G. Dix
Abstract:
In this article we study the non-oscillatory solutions
for a system of neutral functional differential equation.
We give sufficient conditions for all non-oscillatory
solutions to tend to zero as t approaches infinity.
Our results are illustrated with an example.
Submitted June 18, 2013. Published December 16, 2013.
Math Subject Classifications: 34K11, 34K25, 34K40.
Key Words: Neutral differential equation; oscillatory solution;
non-oscillatory solution; asymptotic properties of solutions.
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Helena Samajova Department of Applied Mathematics Faculty of Mechanical Engineering, University of Zilina J. M. Hurbana 15, 010 26 Zilina, Slovakia email: helena.samajova@fstroj.uniza.sk |
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Eva Spanikova Department of Applied Mathematics Faculty of Mechanical Engineering, University of Zilina J. M. Hurbana 15, 010 26 Zilina, Slovakia email: eva.spanikova@fstroj.uniza.sk |
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Julio G. Dix Department of Mathematics, Texas State University 601 University Drive, San Marcos, TX 78666, USA email: jd01@txstate.edu |
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