Aktas, Mustafa FahriCakmak, Devrim2022-05-232022-05-232017-05-24Aktas, M. F., & Cakmak, D. (2017). Lyapunov-type inequalities for third-order linear differential equations. <i>Electronic Journal of Differential Equations, 2017</i>(139), pp. 1-14.1072-6691https://hdl.handle.net/10877/15796In this article, we establish new Lyapunov-type inequalities for third-order linear differential equations y‴ + q(t)y = 0 under the three-point boundary conditions y(α) = y(b) = y(c) = 0 and y(α) = y″(d) = y(b) = 0 by bounding Green's functions G(t, s) corresponding to appropriate boundary conditions. Thus, we obtain the best constants of Lyapunov-type inequalities for three-point boundary value problems for third-order linear differential equations in the literature.Text14 pages1 file (.pdf)enAttribution 4.0 InternationalLyapunov-type inequalitiesGreen's FunctionsThree-point boundary conditionsArticle