Yu, J. S.; Yan, Jurang Oscillation in first order neutral differential equations with ”integrally small” coefficients. (English) Zbl 0814.34062 J. Math. Anal. Appl. 187, No. 2, 361-370 (1994). The authors obtain some new sufficient conditions for the oscillation of the solutions of the equation (1) below without the restrictive hypothesis \(\int^{+\infty}_ 0 [P(s)- Q(s- \tau-\delta)] ds= +\infty\). \[ {d\over dt} [x(t)- R(t) x(t- r)]+ P(t) x(t- \tau)- Q(t) x(t-\delta)= 0,\tag{1} \] where \(P,Q,R\in C([t_ 0; +\infty),\mathbb{R}^ +)\), \(r> 0\) and \(\tau,\delta\geq 0\). Reviewer: T.Havarneanu (Iaşi) Cited in 17 Documents MSC: 34K99 Functional-differential equations (including equations with delayed, advanced or state-dependent argument) 34K40 Neutral functional-differential equations 34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations PDFBibTeX XMLCite \textit{J. S. Yu} and \textit{J. Yan}, J. Math. Anal. Appl. 187, No. 2, 361--370 (1994; Zbl 0814.34062) Full Text: DOI