Mallick, MohanSankar, LakshmiShivaji, RatnasinghamSundar, Subbiah2022-03-102022-03-102018-11-27Mallick, M., Sankar, L., Shivaji, R., & Sundar, S. (2018). Infinite semipositone problems with a falling zero and nonlinear boundary conditions. <i>Electronic Journal of Differential Equations, 2018</i>(193), pp. 1-13.1072-6691https://hdl.handle.net/10877/15489We consider the problem -u″ = h(t) (αu - u2 - c/u α), t ∈ (0, 1), u(0) = 0, u′(1) + g(u(1)) = 0, where α > 0, c ≥ 0, α ∈ (0, 1), h:(0, 1] → (0, ∞) is a continuous function which may be singular at t = 0, but belongs to L1(0, 1) ∩ C1(0, 1), and g:([0, ∞) → [0, ∞) is a continuous function. We discuss existence, uniqueness, and non existence results for positive solutions for certain values of α, b and c.Text13 pages1 file (.pdf)enAttribution 4.0 InternationalInfinite semipostioneExterior domainSub and super solutionsNonlinear boundary conditionsArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.