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Oscillation Criteria of Second Order Half Linear Delay Dynamic Equations on Time Scales
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作者 h.a. agwo A.M.M. KHODIER HEBA A. HASSAN 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2017年第1期83-92,共10页
In this paper, we establish some new oscillation criteria for a non autonomous second order delay dynamic equation (r(t)g(x△(t)))△+p(t)f(x(τ(t)))=0 on a time scale T. Oscillation behavior of this e... In this paper, we establish some new oscillation criteria for a non autonomous second order delay dynamic equation (r(t)g(x△(t)))△+p(t)f(x(τ(t)))=0 on a time scale T. Oscillation behavior of this equation is not studied before. Our results not only apply on differential equations when T=R, difference equations when T=N but can be applied on different types of time scales such as when T=N for q〉1 and also improve most previous results. Finally, we give some examples to illustrate our main results. 展开更多
关键词 time scales OSCILLATION second order delay dynamic equations generalized Riccati technique generalized exponential function
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