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New oscillation theorems for a class of second-order damped nonlinear differential equations

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Ukrainian Mathematical Journal Aims and scope

Some new oscillation criteria are established for the nonlinear damped differential equation

$${\left( {r\left( t \right){k_1}\left( {x,x'} \right)} \right)^\prime } + p\left( t \right){k_2}\left( {x,x'} \right)x' + q\left( t \right)f\left( {x\left( t \right)} \right) = 0,\;t \ge {t_0}.$$

The results obtained extend and improve some existing results.

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Authors and Affiliations

  1. Gaziosmanpaşa University, Tokat, Turkey

    E. Tunç

  2. Ondokuz Mayıs University, Samsun, Turkey

    H. Avcı

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  1. E. Tunç
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  2. H. Avcı
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 63, No. 9, pp. 1263–1278, September, 2011.

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Tunç, E., Avcı, H. New oscillation theorems for a class of second-order damped nonlinear differential equations. Ukr Math J 63, 1441–1457 (2012). https://doi.org/10.1007/s11253-012-0590-8

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  • DOI: https://doi.org/10.1007/s11253-012-0590-8

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