An, YulianMa, Ruyun2021-05-172021-05-172004-11-29An, Y., & Ma, R. (2004). Uniqueness of positive solutions for a class of ODE's with Dirichlet boundary conditions. <i>Electronic Journal of Differential Equations, 2004</i>(142), pp. 1-9.1072-6691https://hdl.handle.net/10877/13563We study the uniqueness of positive solutions of the boundary-value problem u'' + α(t)u' + ƒ(t, u) = 0, t ∈ (0, b) u(0) = 0 = 0, u(b) = 0, where 0 < b < ∞, α ∈ C1[0, ∞) and ƒ ∈ C1([0, ∞) x [0, ∞), [0, ∞)) satisfy suitable conditions. The proof of our main result is based on the shooting method and the Sturm comparison theorem.Text9 pages1 file (.pdf)enAttribution 4.0 InternationalBoundary value problemsPositive solutionsUniquenessShooting methodSturm comparison theoremUniqueness of positive solutions for a class of ODE's with Dirichlet boundary conditionsArticle