Agarwal, Ravi P.Cetin, ErbilOzbekler, Abdullah2019-10-272019-10-2720171578-73031579-15051578-73031579-1505https://doi.org/10.1007/s13398-016-0290-6https://hdl.handle.net/11454/33102In this paper, we present some newHartman and Lyapunov inequalities for second-order forced dynamic equations on time scales T with mixed nonlinearities: x(Delta Delta)(t) + Sigma(n)(k=1) qk (t)vertical bar x(sigma) (t)vertical bar (alpha k-1) x(sigma) (t) = f (t); t is an element of [t(0), infinity)(T), where the nonlinearities satisfy 0 < alpha(1) < ... < alpha(m) < 1 < alpha(m+1) < ... < alpha(n) < 2. No sign restrictions are imposed on the potentials qk, k = 1, 2, ... , n, and the forcing term f. The inequalities obtained generalize and compliment the existing results for the special cases of this equation in the literature.en10.1007/s13398-016-0290-6info:eu-repo/semantics/closedAccessTime scaleLyapunov inequalityForcedMixed nonlinearSub-linearSuper-linearArticle1111231246WOS:000392320300020Q1Q1