OSCILLATION OF A FORCED SECOND ORDER NONLINEAR EQUATION

Citation:

Kong Qingkai,Zhang Binggen.OSCILLATION OF A FORCED SECOND ORDER NONLINEAR EQUATION[J].Chinese Annals of Mathematics B,1994,15(1):59~68
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Authors:

Kong Qingkai; Zhang Binggen

Foundation:

Project supported by the Nationa Natural Science Foundation of China
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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