Cao, DaominMa, Ruyun2019-12-112019-12-112000-10-30Cao, D., & Ma, R. (2000). Positive solutions to a second order multi-point boundary-value problem. <i>Electronic Journal of Differential Equations, 2000</i>(65), pp. 1-8.1072-6691https://hdl.handle.net/10877/9055We prove the existence of positive solutions to the boundary-value problem u" + λα(t) ƒ (u,u') = 0 u(0) = 0, u(1) = ∑m-2i=1 αiu(↋i), where α is a continuous function that may change sign on [0,1], ƒ is a continuous function with ƒ (0,0) > 0, and λ is a small positive constant. For finding solutions we use the Leray-Schauder fixed point theorem.Text8 pages1 file (.pdf)enAttribution 4.0 InternationalMulti-point boundary value problemPositive solutionFixed point theoremArticle