Sun, Yong-PingSun, Yan2021-05-142021-05-142004-11-16Sun, Y. P., & Sun, Y. (2004). Positive solutions for singular semi-positone Neumann boundary-value problems. <i>Electronic Journal of Differential Equations, 2004</i>(133), pp. 1-8.1072-6691https://hdl.handle.net/10877/13554In this paper, we study the singular semi-positone Neumann boundary-value problem -u'' + m2u = λƒ(t, u) + g(t, u), 0 < t < 1, u'(0) = u'(1) = 0, where m is a positive constant. Under some suitable assumptions on the functions ƒ and g, for sufficiently small λ, we prove the existence of a positive solution. Our approach is based on the Krasnasel'skii fixed point theorem in cones.Text8 pages1 file (.pdf)enAttribution 4.0 InternationalPositive solutionsSemi-positoneFixed pointsConeSingular Neumann boundary-value problemArticle