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Oscillation of second-order nonlinear differential equations with damping

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Mathematica Slovaca

Abstract

We study oscillatory properties of solutions to a class of nonlinear second-order differential equations with a nonlinear damping. New oscillation criteria extend those reported in [ROGOVCHENKO, Yu. V.—TUNCAY, F.: Oscillation criteria for second-order nonlinear differential equations with damping, Nonlinear Anal. 69 (2008), 208–221] and improve a number of related results.

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Authors and Affiliations

  1. School of Informatics, Linyi University, Linyi, Shandong, 276005, P.R. China

    Tongxing Li

  2. School of Mathematical Sciences, University of Jinan, Jinan, Shandong, 250022, P.R. China

    Tongxing Li

  3. Department of Mathematical Sciences, University of Agder, P.O. Box 422, N-4604, Kristiansand, Norway

    Yuriy V. Rogovchenko

  4. School of Information and Control Engineering, Weifang University, Weifang, Shandong, 261061, P.R. China

    Shuhong Tang

Authors
  1. Tongxing Li
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  2. Yuriy V. Rogovchenko
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  3. Shuhong Tang
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Corresponding author

Correspondence to Yuriy V. Rogovchenko.

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Communicated by Andras Ronto

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Li, T., Rogovchenko, Y.V. & Tang, S. Oscillation of second-order nonlinear differential equations with damping. Math. Slovaca 64, 1227–1236 (2014). https://doi.org/10.2478/s12175-014-0271-1

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  • DOI: https://doi.org/10.2478/s12175-014-0271-1

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