标题：Oscillation theorems for second-order half-linear advanced dynamic equations on time scales
作者：Tang S.; Li T.; Thandapani E.
作者机构：[Tang, S] School of Information and Control Engineering, Weifang University, Shandong, Weifang 261061, China;[ Li, T] School of Control Science and En 更多
通讯作者地址：[Thandapani, E] Ramanujan Institute for Advanced Study in Mathematics, University of Madras, 600 005 Chennai, India;
来源：International Journal of Differential Equations
摘要：This paper is concerned with the oscillatory behavior of the second-order half-linear advanced dynamic equation (r(t)(xΔ(t))r)Δ + p(t)xγ(g(t)) = 0 on an arbitrary time scale T with sup T = ∞, where g(t) ≥ t and ∫to∞(Δs/(r1/γ(s))) < ∞. Some sufficient conditions for oscillation of the studied equation are established. Our results not only improve and complement those results in the literature but also unify the oscillation of the second-order half-linear advanced differential equation and the second-order half-linear advanced difference equation. Three examples are included to illustrate the main results. Copyrigth © 2011 Shuhong Tang et al.