Tian, YuGe, Weigao2021-05-172021-05-172004-12-03Tian, Y., & Ge, W. (2004). Twin positive solutions for fourth-order two-point boundary-value problems with sign changing nonlinearities. <i>Electronic Journal of Differential Equations, 2004</i>(143), pp. 1-8.1072-6691https://hdl.handle.net/10877/13564A new fixed point theorem on double cones is applied to obtain the existence of at least two positive solutions to (Φp(y''(t))'' - ɑ(t)ƒ (t, y(t), y''(t)) = 0, 0 < t < 1, y(0) = y(1) = 0 = y''(0) = y''(1), where ƒ : [0, 1] x [0, ∞) x (-∞, 0] → R, ɑ ∈ L¹ ([0, 1], (0, ∞)). We also give some examples to illustrate our results.Text8 pages1 file (.pdf)enAttribution 4.0 InternationalFourth-order two-point boundary-value problemFixed point theoremDouble conesPositive solutionsArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.