Özbekler, AbdullahAgarwal, Ravi P.Oguz, Arzu DenkOzbekler, AbdullahMathematics2024-07-052024-07-05202011578-73031579-150510.1007/s13398-020-00829-z2-s2.0-85081724477https://doi.org/10.1007/s13398-020-00829-zhttps://hdl.handle.net/20.500.14411/3103In this paper, we establish new Hartman and Lyapunov-type inequalities for even-order dynamic equations x.2n (t) + (-1)n-1q(t) xs (t) = 0 on time scales T satisfying the Lidstone boundary conditions x.2i (t1) = x.2i (t2) = 0; t1, t2. [t0,8) T for i = 0, 1,..., n - 1. The inequalities obtained generalize and complement the existing results in the literature.eninfo:eu-repo/semantics/closedAccessTime scaleDynamic equationLyapunov-type inequalitiesBoundary value problemArticleQ1Q11142WOS:000519802700001