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Oscillation of second-order neutral differential equations. (English) Zbl 1276.34057

The authors study the oscillation of a class of functional differential equations of the form \[ (r(t)[x(t)+p(t)x(\tau(t))]')'+q(t)x(\sigma(t))=0\tag{1} \] in the case \(\lim_{t\to\infty}R(t)<\infty\), where \(R(t)=\int_{t_0}^{t}r(s)^{-1}\,ds\). Via comparison principles, they derive sufficient conditions which ensure the oscillation of all solutions of equation (1). Two illustrative examples are provided.

MSC:

34K11 Oscillation theory of functional-differential equations
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