Oscillation of even order nonlinear functional differential equations with damping |
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| Authors: | Yun Tang Qigui Yang |
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| Institution: | (1) Department of Mathematics, Guangxi Normal University, Guilin, 541004, P. R. China;(2) Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, P. R. China |
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| Abstract: | This paper is concerned with a class of even order nonlinear damped differential equations 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.
This revised version was published online in June 2006 with corrections to the Cover Date. |
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| Keywords: | oscillation nonlinear functional differential equation generalized Riccati transformation |
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![$$\begin{gathered} {\text{ }}x^{(n)} (t) + p(t)x^{(n - 1)} (t) \hfill \\ + f\left( {t,x\tau _{01} (t)],...,x\tau _{0m} (t)],...,x^{(n - 1)} \tau _{n - 11} (t)],...,x^{{\text{(n - 1)}}} \tau _{n - 1n} (t)]} \right) = 0 \hfill \\ \end{gathered}$$](/content/hm44037422q41322/10474_2004_Article_5148884_TeX2GIFEqu1.gif)