A Philos-type theorem for second-order neutral delay dynamic equations with damping

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• 作者：Jiashan Yang ; Tongxing Li
• 关键词：34K11 ; 34N05 ; 39A10 ; oscillation ; neutral delay dynamic equation ; second ; order ; damping term ; time scale
• 刊名：Advances in Difference Equations
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：2016
• 期：1
• 全文大小：1,579 KB
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• 作者单位：Jiashan Yang (1)
  Tongxing Li (2) (3)
  
  1. School of Information and Electronic Engineering, Wuzhou University, Wuzhou, Guangxi, 543002, P.R. China
  2. School of Informatics, Linyi University, Linyi, Shandong, 276005, P.R. China
  3. LinDa Institute of Shandong Provincial Key Laboratory of Network Based Intelligent Computing, Linyi University, Linyi, Shandong, 276005, P.R. China
  
• 刊物主题：Difference and Functional Equations; Mathematics, general; Analysis; Functional Analysis; Ordinary Differential Equations; Partial Differential Equations;
• 出版者：Springer International Publishing
• ISSN：1687-1847

文摘

We establish a Philos-type oscillation theorem for a class of nonlinear second-order neutral delay dynamic equations with damping on a time scale by using the Riccati transformation and integral averaging technique. An illustrative example is provided to show that our theorem has practicability and maneuverability. Keywords oscillation neutral delay dynamic equation second-order damping term time scale