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Comparison Theorems for Oscillation of Second-Order Neutral Dynamic Equations

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Abstract

We study oscillation of certain second-order neutral dynamic equations under the assumptions that allow applications to dynamic equations with both delayed and advanced arguments. Some new comparison criteria are presented that can be used in cases where known theorems fail to apply.

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Authors and Affiliations

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

    Ravi P. Agarwal

  2. Department of Mathematics and Statistics, Missouri S&T, Rolla, MO, 65409-0020, USA

    Martin Bohner

  3. School of Control Science and Engineering, Shandong University, Jinan, 250061, Shandong, People’s Republic of China

    Tongxing Li & Chenghui Zhang

Authors
  1. Ravi P. Agarwal
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  2. Martin Bohner
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  3. Tongxing Li
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  4. Chenghui Zhang
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Correspondence to Tongxing Li.

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Agarwal, R.P., Bohner, M., Li, T. et al. Comparison Theorems for Oscillation of Second-Order Neutral Dynamic Equations. Mediterr. J. Math. 11, 1115–1127 (2014). https://doi.org/10.1007/s00009-013-0353-2

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  • DOI: https://doi.org/10.1007/s00009-013-0353-2

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