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Browsing by Author "Zafer, Agacik"

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    Article
    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; 19485; 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.
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    Article
    Citation - WoS: 14
    Citation - Scopus: 18
    Oscillation of even order nonlinear delay dynamic equations on time scales
    (Springer Heidelberg, 2013) Erbe, Lynn; Mert, Raziye; Mert, Raziye; Peterson, Allan; Zafer, Agacik; 19485; Matematik
    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.
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    Article
    Citation - WoS: 6
    Citation - Scopus: 4
    Oscillatory behavior of higher-order neutral type dynamic equations
    (Univ Szeged, Bolyai institute, 2013) Grace, Said R.; Mert, Raziye; Mert, Raziye; Zafer, Agacik; 19485; Matematik
    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.