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On the oscillatory behavior of solutions of second order nonlinear differential equations. (English) Zbl 0627.34034
The authors study the behavior of solutions to $$(a(t)\psi (t)x')'+q(t)f(t)=r(t)$$ where a,$\psi$,q,f,r are continuous functions, $a\cdot \psi >0$ for $x\ne 0$, $x\cdot f(x)>0$ for $x\ne 0$, and r is of bounded variation. The authors pay special attention to the case that q(t) changes the sign and give three sets of sufficient conditions for any solution to be either oscillatory or to satisfy $\liminf \vert x(t)\vert =0$ for $t\to \infty$. The relevant literature and some examples are listed.
Reviewer: E.Brommundt

##### MSC:
 34C10 Qualitative theory of oscillations of ODE: zeros, disconjugacy and comparison theory 34C15 Nonlinear oscillations, coupled oscillators (ODE)
##### Keywords:
second order differential equation; examples
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