Chatzarakis, GeorgeHorvat Dmitrovic, LanaPasic, Mervan2022-03-072022-03-072018-08-31Chatzarakis, G. E., Horvat Dmitrović, L., & Pasic, M. (2018). Local extrema of positive solutions of nonlinear functional differential equations. <i>Electronic Journal of Differential Equations, 2018</i>(158), pp. 1-11.1072-6691https://hdl.handle.net/10877/15452We study the positive solutions of a general class of second-order functional differential equations, which includes delay, advanced, and delay-advanced equations. We establish integral conditions on the coefficients on a given bounded interval J such that every positive solution has a local maximum in J. Then, we use the connection between that integral condition and Rayleigh quotient to get a sufficient condition that is easier to be applied. Several examples are provided to demonstrate the importance of our results.Text11 pages1 file (.pdf)enAttribution 4.0 InternationalFunctional differential equationsLocal non-monotonicityIntegral criteriaRayleigh quotientDelayAdvanceSuper-sub linear nonlinearityArticle