文章基本信息

标题：Nonoscillation of First-Order Dynamic Equations with Several Delays
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作者：Elena Braverman ; Başak Karpuz
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2010
卷号：2010
期号：1
页码：873459
DOI：10.1155/2010/873459
语种：English
出版社：Hindawi Publishing Corporation
摘要：For dynamic equations on time scales with positive variable coefficients and several delays, we prove that nonoscillation is equivalent to the existence of a positive solution for the generalized characteristic inequality and to the positivity of the fundamental function. Based on this result, comparison tests are developed. The nonoscillation criterion is illustrated by examples which are neither delay-differential nor classical difference equations.
关键词：Difference Equation ; Fundamental Solution ; Comparison Theorem ; Delay Differential Equation ; Delay Function