Oscillation of third-order neutral differential equations

Authors:
B. BaculíKová;J. Durina
Affiliations:
Department of Mathematics, Faculty of Electrical Engineering and Informatics, Technical University of Košice, Letná 9, 042 00 Košice, Slovakia;Department of Mathematics, Faculty of Electrical Engineering and Informatics, Technical University of Košice, Letná 9, 042 00 Košice, Slovakia
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2010

Citing 3
Cited 0

Asymptotic properties of the third order delay differential equations

Nonlinear Analysis: Theory, Methods & Applications
On asymptotic behavior of delay-differential equations of third order

Nonlinear Analysis: Theory, Methods & Applications
Oscillation of third order nonlinear delay dynamic equations on time scales

Mathematical and Computer Modelling: An International Journal

Quantified Score

Hi-index	0.98

Visualization

Abstract

The objective of this paper is to study asymptotic properties of the couple of third-order neutral differential equations (E^+/-)[a(t)([x(t)+/-p(t)x(@d(t))]^'')^@c]^'+q(t)x^@c(@t(t))=0,t=t"0, where a(t), q(t), p(t) are positive functions, @c0 is a quotient of odd positive integers and @t(t)@?t, @d(t)@?t. We will establish some sufficient conditions which ensure that all nonoscillatory solutions of (E^+/-) converge to zero. Some examples are considered to illustrate the main results.