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Zbl 0655.34023
Wong, James S.W.
Second order nonlinear forced oscillations.
(English)
[J] SIAM J. Math. Anal. 19, No.3, 667-675 (1988). ISSN 0036-1410; ISSN 1095-7154/e

The author considers the following nonlinear differential equation (1) $x''+a(t)f(x)=g(t),$ $t\in [0,\infty)$, where a,g are real piecewise continuous functions on $[0,\infty)$; f is continuous and nondecreasing function in $(-\infty,\infty)$; $xf(x)>0$ for $x\ne 0$; $h\in C\sp 2[0,\infty)$, $h''(t)=g(t)$ and that h(t) is oscillatory. Under another assumptions there are given sufficiently conditions under which all continuable solutions of (1) are oscillatory.
[P.Marušiak]
MSC 2000:
*34C10 Qualitative theory of oscillations of ODE: Zeros, etc.
34C15 Nonlinear oscillations of solutions of ODE
34A34 Nonlinear ODE and systems, general

Keywords: superlinear equation; sublinear equation

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