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Oscillatory Behavior of Linear Neutral Delay Dynamic Equations on Time Scales

Samir H. Saker
경북대학교 자연과학대학 수학과|2007.06|Kyungpook Mathematical Journal|제47권 제2호|pp. 175-190

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Abstract

By employing the Riccati transformation technique some new oscillation criteria for the second-order neutral delay dynamic equation(y(t) + r(t)y(τ(t))) + p(t)y(δ(t)) = 0,on a time scale T are established. Our results as a special case whenT = R and T = N improve some well known oscillation criteria for second order neutral delay differential an difference equations, and when T = qN, i.e., for second-order-q-neutral difference equations our results are essentially new and can be applied on different types of time scales. Some examples are considered to illustrate the main results.

참고문헌 (20)

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관련 논문AI추천

Oscillation of Linear Second Order Delay Dynamic Equations on Time ScalesHassan Ahmed Agwo경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2007 · 제47권 제3호Oscillation of Second-Order Nonlinear Forced Functional Dynamic Equations with Damping Term on Time ScalesAhmed Mahmoud Khodier, Hassan Ahmed Agwa, Heba Mostaafa Atteya Ahmed경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2016 · 제56권 제3호Oscillation of nonlinear second order neutral delay dynamic equations on time scalesHassan A. Agwo대한수학회 · 대한수학회보2008 · 제45권 제2호Oscillation Criteria of Second-order Half-linear Delay Difference EquationsS. H. Saker경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2005 · 제45권 제4호Oscillation of second order nonlinear delay difference equationsS. H. Saker대한수학회 · 대한수학회보2003 · 제40권 제3호Oscillation and Nonoscillation of Nonlinear Neutral Delay Differential Equations with Several Positive and Negative CoefficientsElmetwally M. Elabbasy, Samir H. Saker, Taher S. Hassan경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2007 · 제47권 제1호

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