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OSCILLATORY BEHAVIOR OF A CERTAIN CLASS OF SECOND-ORDER NONLINEAR PERTURBED DYNAMIC EQUATIONS ON TIME SCALES

Samir H. Saker
대한수학회 (The Korean Mathematical Society)|2010.07|대한수학회지 (Journal of the KMS)|제47권 제4호|pp. 659-674

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참고문헌

키워드

time scaleoscillationperturbed dynamic equations
주제분류수학

초록

This paper is concerned with the asymptotic behavior of solutions of the second-order nonlinear perturbed dynamic equation [수식] on a time scale T. By using a new technique we establish some sufficient conditions which ensure that every solution oscillates or converges to zero. Our results improve the known oscillation results on the literature for the perturbed dynamic equations on time scales. Some examples illustrating our main results are given.

Abstract

This paper is concerned with the asymptotic behavior of solutions of the second-order nonlinear perturbed dynamic equation [수식] on a time scale T. By using a new technique we establish some sufficient conditions which ensure that every solution oscillates or converges to zero. Our results improve the known oscillation results on the literature for the perturbed dynamic equations on time scales. Some examples illustrating our main results are given.

참고문헌 (23)

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Oscillation of nonlinear second order neutral delay dynamic equations on time scalesHassan A. Agwo대한수학회 · 대한수학회보2008 · 제45권 제2호Oscillation behavior of solutions of third-order nonlinear delay dynamic equations on time scalesMeng Zhang, Shurong Sun, Tongxing Li, Zhenlai Han대한수학회 · 대한수학회논문집2011 · 제26권 제3호Oscillation 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 제3호OSCILLATORY BEHAVIOR OF SECOND-ORDER HALF-LINEAR NEUTRAL DIFFERENTIAL EQUATIONS WITH DAMPING TERML. Gao, Q. Zhang, S. Liu장전수학회 · Advanced Studies in Contemporary Mathematics2015 · 제25권 제4호Eigenvalue problems for p-Laplacian dynamic equations on time scalesHong-Rui Sun, Mingzhou Guo대한수학회 · 대한수학회보2009 · 제46권 제5호

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