Shu, Xiao-BaoXu, Yuan-Tong2021-05-172021-05-172004-11-25Shu, X. B., & Xu, Y. T. (2004). Existence of multiple solutions for a class of second-order ordinary differential equations. <i>Electronic Journal of Differential Equations, 2004</i>(137), pp. 1-14.1072-6691https://hdl.handle.net/10877/13558By means of variational structure and Z2 group index theory, we obtain multiple solutions for the second-order differential equation d/dt (p(t) du/dt) + q(t)u + ƒ(t, u) = 0, 0 < t < 1, subject to one of the following two sets of boundary conditions: u'(0) = u(1) + u'(1) = 0 or u(0) = u(1) = 0.Text14 pages1 file (.pdf)enAttribution 4.0 InternationalVariational structureZ2 group index theoryCritical pointsBoundary value problemsArticle