An oscillation criterion for second-order superlinear differential equations (Q2732213)

The authors study the superlinear second-order ordinary differential equation with nonlinearity of Emden-Fowler type NEWLINE\[NEWLINE x''(t)+p(t)x'(t)+q(t)|x(t)|^\alpha \text{sgn }x(t)=0, \tag{1} NEWLINE\]NEWLINE where \(p\), \(q\) are real continuous functions on \([t_0,\infty)\), \(\alpha>1\). Using the substitution \(V(t)=\rho(t){x'(t)\over x^\alpha(t)}\), the authors obtain a new oscillation criterion for equation (1). This criterion extends the criterion of \textit{J. S. W. Wong} [Proc. Am. Math. Soc. 40, 487-491 (1973; Zbl 0278.34030)].