Grace, S. R. Oscillation theorems for damped functional differential equations. (English) Zbl 0758.34053 Funkc. Ekvacioj, Ser. Int. 35, No. 2, 261-278 (1992). The equations \(x''(t)+p(t)x'(t-r)-H(t,x(g(t)))=0\), \(x''(t)-p(t)x'(t+r)- H(t,x(g(t)))=0\) are considered, with \(H(t,x)\text{sign} x\geq q(t)| x|^ \lambda\). Criteria for oscillation are established, which fail if \(r=0\), and reduce to known ones if \(p=0\); 13 illustrative examples show the relevance of the results. Reviewer: A.Halanay (Bucureşti) Cited in 8 Documents MSC: 34K99 Functional-differential equations (including equations with delayed, advanced or state-dependent argument) 34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations Keywords:functional differential equations; oscillation; examples PDFBibTeX XMLCite \textit{S. R. Grace}, Funkc. Ekvacioj, Ser. Int. 35, No. 2, 261--278 (1992; Zbl 0758.34053)