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Oscillatory Behavior of Solutions for a Class of Second Order Nonlinear Differential Equation with Perturbation

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Abstract

In this paper, a class of second order nonlinear differential equations with perturbation is studied. By using the generalized Riccati transformation, the integral averaging technique and the method of classification, new oscillation criteria are obtained for all solutions of the equations, which generalize and improve some known results.

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Authors and Affiliations

  1. Department of Mathematics and Information Science, Binzhou University, Shandong, 256603, People’s Republic of China

    Quanxin Zhang & Lei Wang

Authors
  1. Quanxin Zhang
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  2. Lei Wang
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Corresponding author

Correspondence to Quanxin Zhang.

Additional information

Research was supported by the Natural Science Foundation of Shandong Province (No. Y2007A08); and the Technology Research and Development Program of Education Department of Shandong Province (No. J07WH01).

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Zhang, Q., Wang, L. Oscillatory Behavior of Solutions for a Class of Second Order Nonlinear Differential Equation with Perturbation. Acta Appl Math 110, 885–893 (2010). https://doi.org/10.1007/s10440-009-9483-8

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  • DOI: https://doi.org/10.1007/s10440-009-9483-8

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