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Oscillation of Linear Second Order Delay Dynamic Equations on Time Scales

Hassan Ahmed Agwo
경북대학교 자연과학대학 수학과|2007.09|Kyungpook Mathematical Journal|제47권 제3호|pp. 425-438

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초록

In this paper, we establish some new oscillation criteria for a second-order delay dynamic equation u44(t) + p(t)u( (t)) = 0 on a time scale T. The results can be applied on differential equations when T = R, delay difference equations when T = N and for delay q−difference equations when T =qN for q > 1.

Abstract

In this paper, we establish some new oscillation criteria for a second-order delay dynamic equation u44(t) + p(t)u( (t)) = 0 on a time scale T. The results can be applied on differential equations when T = R, delay difference equations when T = N and for delay q−difference equations when T =qN for q > 1.

참고문헌 (18)

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  6. "Oscillation for nonlinear second order dynamic equations on a time scale", 301, pp.491~507 (2005)
  7. "Dynamic Equations on Time Scales : An Introduction with Application" (2001), Birkh.auser, Boston
  8. "Advances in Dynamic Equations on Time Scales" (2003), Birkh.auser, Boston
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  12. "Classification and existence of positive solutions to non-linear dynamic equations on time scales", 17, pp.1~8 (2004)
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  15. "Oscillation of second order differential equations on time scales", (nlinear anal)
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관련 논문AI추천

Oscillation of nonlinear second order neutral delay dynamic equations on time scalesHassan A. Agwo대한수학회 · 대한수학회보2008 · 제45권 제2호Oscillation 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 behavior of solutions of third-order nonlinear delay dynamic equations on time scalesMeng Zhang, Shurong Sun, Tongxing Li, Zhenlai Han대한수학회 · 대한수학회논문집2011 · 제26권 제3호OSCILLATORY BEHAVIOR OF A CERTAIN CLASS OF SECOND-ORDER NONLINEAR PERTURBED DYNAMIC EQUATIONS ON TIME SCALESSamir H. Saker대한수학회 · 대한수학회지2010 · 제47권 제4호Oscillatory Behavior of Linear Neutral Delay Dynamic Equations on Time ScalesSamir H. Saker경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2007 · 제47권 제2호Oscillation Results for Second Order Nonlinear Differential Equation with Delay and Advanced ArgumentsEthiraju Thandapani, Murugesan Vijaya, Renu Rama, Srinivasan Selvarangam경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2016 · 제56권 제1호

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