Oscillation of the Riemann-Weber version of Euler differential equations with delay (Q2702990)

This is a ``nice, short and sweet'' paper for oscillations of delay differential equations. The authors prove that for the Riemann-Weber version of Euler differential equations with delay NEWLINE\[NEWLINEy''(t)+{1\over 4t^2} y(t)+{\delta\over(t\ln t)^2} y(ct)= 0,NEWLINE\]NEWLINE with \(0< c\leq 1\), all nontrivial solutions are oscillatory iff \(\delta> {1\over 3\sqrt c}\). In the case where \(c=1\) (without delay), this reduces to a classical result (see, for example, \textit{E. Hille} [Trans. Am. Math. Soc. 64, 234-252 (1948; Zbl 0031.35402)]).