Özbekler, AbdullahAgarwal, Ravi P.Ozbekler, AbdullahMathematics2024-07-052024-07-052015151029-242X10.1186/s13660-015-0633-42-s2.0-84928733858https://doi.org/10.1186/s13660-015-0633-4https://hdl.handle.net/20.500.14411/763In the case of oscillatory potentials, we present Lyapunov and Hartman type inequalities for even order differential equations with mixed nonlinearities: x((2n))(t) + (-1)(n-1) Sigma(m)(i=1) q(i)(t)vertical bar x(t)vertical bar(alpha i-1) x(t) = 0, where n,m epsilon N and the nonlinearities satisfy 0 < alpha(1) < center dot center dot center dot < alpha(j) < 1 < alpha(j+1) < center dot center dot center dot < alpha(m) < 2.eninfo:eu-repo/semantics/openAccessLyapunov type inequalitymixed nonlinearsub-linearsuper-linearArticleQ1WOS:000353226000001