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On oscillations of solutions to second-order linear delay differential equations. (English) Zbl 1272.34093
The authors consider the second-order linear delay differential equation \[ u''(t) + p(t) u(\tau(t))=0 \] to find new oscillation criteria. Several interesting theorems are proved under certain conditions. In particular, a suitable a priori lower bound of non-oscillatory solutions is found, which plays a crucial role in the proofs of the results obtained.

MSC:
34K11 Oscillation theory of functional-differential equations
34K06 Linear functional-differential equations
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