Özbekler, AbdullahAgarwal,R.P.Özbekler,A.Mathematics2024-07-052024-07-05201610174-474710.1515/anly-2015-00022-s2.0-84995596331https://doi.org/10.1515/anly-2015-0002https://hdl.handle.net/20.500.14411/3811In this paper,we present some new Lyapunov and Hartman type inequalities for second-order equations with mixed nonlinearities: x''(t) + p(t)|x(t)|β?1x(t) + q(t)|x(t)|y?1x(t) = 0, where p(t), q(t) are real-valued functions and 0 < γ < 1 < β < 2. No sign restrictions are imposed on the potential functions p(t) and q(t). The inequalities obtained generalize the existing results for the special cases of this equation in the literature. © 2016 by De Gruyter.eninfo:eu-repo/semantics/closedAccessLyapunov type inequalitymixed nonlinearsub-linearsuper-linearArticle364245252