文章基本信息

标题：Kamenev-type oscillation criteria for higher-order nonlinear dynamic equations on time scales
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作者：Xin Wu ; Taixiang Sun ; Hongjian Xi 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：248
DOI：10.1186/1687-1847-2013-248
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, we investigate the oscillation of the following higher-order dynamic equation: { r n ( t ) [ ( r n − 1 ( t ) ( ⋯ ( r 1 ( t ) x △ ( t ) ) △ ⋯ ) △ ) △ ] γ } △ + F ( t , x ( τ ( t ) ) ) = 0 on an arbitrary time scale T, where n ≥ 2 , 1 r k ( t ) ( 1 ≤ k ≤ n ) are positive rd-continuous functions on T, and γ is the quotient of two odd positive integers, τ : T → T with τ ( t ) > t and F ∈ C ( T × R , R ) . We give sufficient conditions under which every solution of this equation is either oscillatory or tends to zero. MSC:34K11, 39A10, 39A99.
关键词：oscillation ; dynamic equation ; time scale