Blanka Baculikova, Jozef Dzurina
Abstract:
We establish sufficient conditions for the third-order nonlinear
advanced differential equation
to have property B or to be oscillatory.
These conditions are based on monotonic properties and estimates of
non-oscillatory solutions, and essentially improve known results
for differential equations with deviating arguments and for ordinary
differential equations.
Submitted March 15, 2016. Published September 7, 2016.
Math Subject Classifications: 34C10, 34K11.
Key Words: Third-order functional differential equation; Property B;
advanced argument.
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Blanka Baculikova Department of Mathematics Faculty of Electrical Engineering and Informatics Technical University of Kosice Letna 9, 042 00 Kosice, Slovakia email: blanka.baculikova@tuke.sk | |
Jozef Dzurina Department of Mathematics Faculty of Electrical Engineering and Informatics Technical University of Kosice Letna 9, 042 00 Kosice, Slovakia email: jozef.dzurina@tuke.sk |
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