Irena Jadlovska
Abstract:
This article concerns the oscillation of solutions to a linear second-order
differential equation with advanced argument.
Sufficient oscillation conditions involving limit inferior are given which
essentially improve known results. We base our technique on the iterative
construction of solution estimates and some of the recent ideas developed
for first-order advanced differential equations. We demonstrate the advantage
of our results on Euler-type advanced equation. Using MATLAB software,
a comparison of the effectiveness of newly obtained criteria as well
as the necessary iteration length in particular cases are discussed.
Submitted April 28, 2017. Published July 4, 2017.
Math Subject Classifications: 34C10, 34K11.
Key Words: Linear differential equation; advanced argument; second-order;
oscillation.
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Irena Jadlovská Department of Mathematics and Theoretical Informatics Faculty of Electrical Engineering and Informatics Technical University of Kosice B. Nemcovej 32, 042 00 Kosice, Slovakia email: irena.jadlovska@tuke.sk |
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