文章基本信息

标题：Oscillation criteria for p -Laplacian delay dynamic equations with damping on time scales
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作者：Zhenlai Han ; Yibing Sun ; Meirong Xu 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2013
卷号：2013
期号：1
页码：145
DOI：10.1186/1687-1847-2013-145
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, we establish some new oscillation criteria for p-Laplacian delay dynamic equations with damping ( a ( t ) Φ ( x Δ ( t ) ) ) Δ + p ( t ) Φ ( x Δ ( t ) ) + q ( t ) f ( Φ ( x ( τ ( t ) ) ) ) = 0 on a time scale T , here Φ ( s ) = s γ − 2 s , γ > 1 with a, p and q are positive real-valued rd-continuous functions defined on T . By using the Riccati transformation technique and integral averaging technique, some new sufficient conditions, which ensure that every solution oscillates, are established. Our results in this paper not only extend and improve the known results, but also unify the results about oscillation criteria for p-Laplacian delay differential equations with damping and p-Laplacian delay difference equations with damping. MSC:34C10, 34K11, 39A21.
关键词：oscillation ; second order ; p -Laplacian delay dynamic equations ; time scales