Browsing by Author "Zafer, Agacik"

Now showing 1 - 3 of 3

Citation - WoS: 2
Citation - Scopus: 7
A Necessary and Sufficient Condition for Oscillation of Second Order Sublinear Delay Dynamic Equations
(Amer inst Mathematical Sciences-aims, 2011) Mert, RazIye; Mert, Raziye; Zafer, Agacik; Matematik
Time scale calculus approach allows one to treat the continuous, discrete, as well as more general systems simultaneously. In this article we use this tool to establish a necessary and sufficient condition for the oscillation of a class of second order sublinear delay dynamic equations on time scales. Some well known results in the literature are improved and extended.
Citation - WoS: 14
Citation - Scopus: 18
Oscillation of Even Order Nonlinear Delay Dynamic Equations on Time Scales
(Springer Heidelberg, 2013) Mert, Raziye; Peterson, Allan; Zafer, Agacik; Erbe, Lynn
One of the important methods for studying the oscillation of higher order differential equations is to make a comparison with second order differential equations. The method involves using Taylor's Formula. In this paper we show how such a method can be used for a class of even order delay dynamic equations on time scales via comparison with second order dynamic inequalities. In particular, it is shown that nonexistence of an eventually positive solution of a certain second order delay dynamic inequality is sufficient for oscillation of even order dynamic equations on time scales. The arguments are based on Taylor monomials on time scales.
Citation - WoS: 8
Citation - Scopus: 5
Oscillatory Behavior of Higher-Order Neutral Type Dynamic Equations
(Univ Szeged, Bolyai institute, 2013) Mert, Raziye; Zafer, Agacik; Grace, Said R.
The oscillation behavior of solutions for higher-order delay dynamic equations of neutral type is investigated by making use of comparison with second-order dynamice quations. The method can be utilized to study other types of higher-order equations on time scales as well.