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Oscillatory properties of third order neutral delay differential equations. (English) Zbl 1060.34036

Summary: The authors consider the third-order neutral delay differential equation \[ (a(t)(b(t)(y(t)+ py(t- \tau))')')'+ q(t) f(y(t- \sigma))= 0,\tag{\(*\)} \] with \(a(t)> 0\), \(b(t)> 0\), \(q(t)\geq 0\), \(0\leq p< 1\), \(\tau> 0\), and \(\sigma> 0\). Criteria for the oscillation of all solutions of \((*)\) are obtained. Examples illustrating the results are included.

MSC:

34K11 Oscillation theory of functional-differential equations
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