caa a22 4500 465820085 CHVBK 20180323112133.0 cr unu---uuuuu 170327e19901201xx s 000 0 eng 10.1007/BF01766971 doi (NATIONALLICENCE)springer-10.1007/BF01766971 Comparison results for oscillations of delay equations [Elektronische Daten] [M. Kulenović, G. Ladas, Y. Sficas] Summary: We established a comparison result for the oscillation of all solutions of the linear delay equation with positive and negative coefficients $$\dot x(t) + P(t)x(t - \tau ) - Q(t)x(t - \sigma ) = 0,t \geqslant t_0$$ in terms of the oscillation of the << limiting >> equation (*) $$\dot y(t) + py(t - \tau ) - qy(t - \sigma ) = 0$$ where p= lim infP(t) and q=lim supQ(t). t→∞ t→∞ Next, we employed the above result to obtain comparison results for the oscillation of all solutions (or all bounded solutions) of a nonlinear delay equation $$\dot x(t) + pf(x(t - \tau ) - qf(x(t - \sigma ) = 0,t \geqslant t_0$$ in terms of the oscillation of the linearized equation. Fondazione Annali di Matematica Pura ed Applicata, 1990 Kulenović M. Department of Mathematics, The University of Rhode Island, 02881, Kingston, Rhode Island, USA aut Ladas G. Department of Mathematics, University of Sarajevo, 71000, Sarajevo, Yugoslavia aut Sficas Y. Department of Mathematics, University of Ioannina, 45332, Ioannina, Greece aut Annali di Matematica Pura ed Applicata Springer-Verlag 156/1(1990-12-01), 1-14 0373-3114 156:1<1 1990 156 10231 https://doi.org/10.1007/BF01766971 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01766971 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kulenović M. Department of Mathematics, The University of Rhode Island, 02881, Kingston, Rhode Island, USA aut NATIONALLICENCE 700 1- Ladas G. Department of Mathematics, University of Sarajevo, 71000, Sarajevo, Yugoslavia aut NATIONALLICENCE 700 1- Sficas Y. Department of Mathematics, University of Ioannina, 45332, Ioannina, Greece aut NATIONALLICENCE 773 0- Annali di Matematica Pura ed Applicata Springer-Verlag 156/1(1990-12-01), 1-14 0373-3114 156:1<1 1990 156 10231 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer