Bravyi, Evgeniy I.Gusarenko, Sergey S.2021-04-052021-04-052004-01-02Bravyi, E. I., & Gusarenko, S. S. (2004). On Oleck-Opial-Beesack-Troy integro-differential inequalities. <i>Electronic Journal of Differential Equations, 2004</i>(4), pp. 1-24.1072-6691https://hdl.handle.net/10877/13323We obtain necessary and sufficient conditions for the integro-differential inequality ∫bα ẋ2(t) dt ≥ γ ∫bα q(t) |ẋ(t)x(t) | dt to be valid with one of the three boundary conditions: x(α) = 0, or x(b) = 0, or x(α) = x(b) = 0. For a power functions q, the best constants γ are found.Text23 pages1 file (.pdf)enAttribution 4.0 InternationalIntegral inequalitiesIntegro-differential inequalitiesFunctional differential equationsVariational problemsArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.