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Oscillation criteria for second order nonlinear differential equation with damping

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Abstract

By the generalized Riccati transformation and the integral averaging technique, some sufficient conditions of oscillation of the solutions for second order nonlinear differential equations with damping were discussed. Some sufficient oscillation criteria for previous equations were built up. Some oscillation criteria have been expanded and strengthened in some other known results.

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Authors and Affiliations

  1. Department of Mathematics, Huizhou College, 516015, Huizhou Guangdong Province, P.R.China

    Luo Hui (Lecturer) & Zhuang Rong-kun

  2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, 200072, Shanghai, P.R.China

    Luo Hui (Lecturer) & Guo Xing-ming

Authors
  1. Luo Hui
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  2. Zhuang Rong-kun
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  3. Guo Xing-ming
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Corresponding author

Correspondence to Luo Hui.

Additional information

Contributed by GUO Xing-ming

Project supported by the Natural Science Foundation of Guangdong Province of China

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Hui, L., Rong-kun, Z. & Xing-ming, G. Oscillation criteria for second order nonlinear differential equation with damping. Appl Math Mech 26, 441–448 (2005). https://doi.org/10.1007/BF02465382

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  • DOI: https://doi.org/10.1007/BF02465382

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Chinese Library Classification

2000 Mathematics Subject Classification

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