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Oscillation of even order nonlinear functional differential equations with damping

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Abstract

This paper is concerned with a class of even order nonlinear damped differential equations

$$\begin{gathered} {\text{ }}x^{(n)} (t) + p(t)x^{(n - 1)} (t) \hfill \\ + f\left( {t,x[\tau _{01} (t)],...,x[\tau _{0m} (t)],...,x^{(n - 1)} [\tau _{n - 11} (t)],...,x^{{\text{(n - 1)}}} [\tau _{n - 1n} (t)]} \right) = 0 \hfill \\ \end{gathered}$$

where n is even and t≥t 0. By using the generalized Riccati transformation and the averaging technique, new oscillation criteria are obtained which are either extensions of or complementary to a number of existing results.

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Authors and Affiliations

  1. Department of Mathematics, Guangxi Normal University, Guilin, 541004, P. R. China

    Yun Tang

  2. Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, P. R. China

    Qigui Yang

Authors
  1. Yun Tang
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  2. Qigui Yang
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Tang, Y., Yang, Q. Oscillation of even order nonlinear functional differential equations with damping. Acta Mathematica Hungarica 102, 223–238 (2004). https://doi.org/10.1023/B:AMHU.0000023218.43007.bd

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  • DOI: https://doi.org/10.1023/B:AMHU.0000023218.43007.bd

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