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Oscillation of fourth-order delay dynamic equations

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Abstract

This paper is concerned with oscillatory behavior of a class of fourth-order delay dynamic equations on a time scale. In the general time scales case, four oscillation theorems are presented that can be used in cases where known results fail to apply. The results obtained can be applied to an equation which is referred to as Swift-Hohenberg delay equation on a time scale. These criteria improve a number of related contributions to the subject. Some illustrative examples are provided.

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Authors and Affiliations

  1. School of Control Science and Engineering, Shandong University, Jinan, 250061, China

    ChengHui Zhang & TongXing Li

  2. Department of Mathematics, Texas A&M University-Kingsville, 700 University Blvd., Kingsville, TX, 78363-8202, USA

    Ravi P. Agarwal

  3. Department of Mathematics and Statistics, Missouri University of Science and Technology, Rolla, MO, 65409-0020, USA

    Martin Bohner

  4. Department of Mathematics, Linyi University, Linyi, 276005, China

    TongXing Li

Authors
  1. ChengHui Zhang
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  2. Ravi P. Agarwal
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  3. Martin Bohner
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  4. TongXing Li
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Correspondence to TongXing Li.

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Zhang, C., Agarwal, R.P., Bohner, M. et al. Oscillation of fourth-order delay dynamic equations. Sci. China Math. 58, 143–160 (2015). https://doi.org/10.1007/s11425-014-4917-9

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  • DOI: https://doi.org/10.1007/s11425-014-4917-9

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