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Oscillation criteria for nonlinear perturbed dynamic equations of second-order on time scales

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Abstract

In this paper, by using the Riccati transformation technique we establish some new oscillation criteria for second-order nonlinear perturbed dynamic equation on time scales. An example illustrating our main results is also given.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Florida Institute of Technology, 32901, Melbourne, Florida, USA

    Ravi P. Agarwal

  2. Department of Mathematics, National University of Ireland, Galway, Ireland

    Donal O’regan

  3. Department of Mathematics, Faculty of Science, Mansoura University, 35516, Mansoura, Egypt

    S. H. Saker

Authors
  1. Ravi P. Agarwal
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  2. Donal O’regan
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  3. S. H. Saker
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Correspondence to Ravi P. Agarwal.

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Agarwal, R.P., O’regan, D. & Saker, S.H. Oscillation criteria for nonlinear perturbed dynamic equations of second-order on time scales. J. Appl. Math. Comput. 20, 133–147 (2006). https://doi.org/10.1007/BF02831928

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  • DOI: https://doi.org/10.1007/BF02831928

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