Scopus İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651

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Now showing 1 - 7 of 7
  • 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; 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.
  • Article
    Oscillation criteria for even order dynamic equations on time-scales
    (Dynamic Publishers, Inc, 2011) Grace, Said R.; Agarwal, Ravi P.; Kaymakçalan, Billur; Baoguo, Jia; Erbe, Lynn; Mert, Raziye
    Some new criteria for the oscillation of even order linear dynamic equations on time-scales of the form xΔn(t) + q(t)x(t) = 0 are established.
  • Article
    Citation - WoS: 7
    Citation - Scopus: 10
    Oscillation of Higher-Order Neutral Dynamic Equations on Time Scales
    (Springeropen, 2012) Mert, Raziye
    In this article, using comparison with second-order dynamic equations, we establish sufficient conditions for oscillatory solutions of an nth-order neutral dynamic equation with distributed deviating arguments. The arguments are based on Taylor monomials on time scales. 2000 Mathematics Subject Classification: 34K11; 39A10; 39A99.
  • Article
    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.
  • Article
    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.
  • Article
    Citation - WoS: 28
    Citation - Scopus: 33
    Existence of Periodic Solutions, Global Attractivity and Oscillation of Impulsive Delay Population Model
    (Pergamon-elsevier Science Ltd, 2007) Alzabut, J. O.; Saker, S. H.
    In this paper we consider the nonlinear impulsive delay population model. The main objective is to systematically study the qualitative behavior of the model including existence of periodic solutions, global attractivity and oscillation. The main oscillation results are the results of the prevalence of the mature cells about the periodic solutions and the global attractivity results are the conditions for nonexistence of dynamical diseases on the population. (c) 2006 Elsevier Ltd. All rights reserved.
  • Article
    Citation - WoS: 15
    Citation - Scopus: 16
    Periodic Solutions, Global Attractivity and Oscillation of an Impulsive Delay Host-Macroparasite Model
    (Pergamon-elsevier Science Ltd, 2007) Alzabut, J. O.; Saker, S. H.
    In this paper we will consider the nonlinear impulsive delay host-macroparasite model with periodic coefficients. By means of the continuation theorem of coincidence degree, we establish a sufficient condition for the existence of a positive periodic solution M(t) with strictly positive components. Moreover, we establish a sufficient condition for the global attractivity of M(t) and some sufficient conditions for oscillation of all positive solutions about the positive periodic solution M(t). (c) 2006 Elsevier Ltd. All rights reserved.