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Oscillation of second order differential equations with advanced argument. (English) Zbl 0858.34057
The author considers second-order functional differential equations with advanced argument of the form \[ (r^{-1}(t)u'(t))'+p(t)u(t)+q(t) u(\tau(t))=0,\tag{1} \] where \(r,p,q,\tau\in C([t_0,\infty),\mathbb{R})\), \(r\) and \(q\) are positive, \(p\) is nonnegative and \(\tau(t)\geq t\). A sufficient condition for the oscillation of (1) is presented here by comparing this equation with the first-order advanced equation of the form \(z'(t)-s(t)z(\tau(t))=0\).

MSC:
34K11 Oscillation theory of functional-differential equations
34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
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References:
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