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OSCILLATION OF A FORCED SECOND ORDER NONLINEAR EQUATION |
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Citation: |
Kong Qingkai,Zhang Binggen.OSCILLATION OF A FORCED SECOND ORDER NONLINEAR EQUATION[J].Chinese Annals of Mathematics B,1994,15(1):59~68 |
Page view: 1045
Net amount: 724 |
Authors: |
Kong Qingkai; Zhang Binggen |
Foundation: |
Project supported by the Nationa Natural Science Foundation of China |
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Abstract: |
This paper gives several criteria on the oscillatory behavior of
solutions of the forced second order equation
$x^{\pr\pr}+a(t)f(x)=g(t),$ where $g(t)$ is oscillatory, by
using a geometric idea. As special cases these results include
and improve some recent results, given by J. S. Wong. The
criteria also solve the problem posed by H. Onose in Mathematical
Reviews, 1986. |
Keywords: |
Oscillation, Forced, Nonlinear Differential equations. |
Classification: |
34C10 |
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