Zhang, Xuemei2021-08-032021-08-032007-01-27Zhang, X. (2007). Positive solutions for a class of nonresonant boundary-value problems. <i>Electronic Journal of Differential Equations, 2007</i>(20), pp. 1-10.1072-6691https://hdl.handle.net/10877/14170This paper concerns the existence and multiplicity of positive solutions to the nonresonant second-order boundary-value problem Lx = λw(t)ƒ(t, x). We are interested in the operator Lx := -x″ + ρqx when w is in Lp for 1 ≤ p ≤ +∞. Our arguments are based on fixed point theorems in a cone and Hölder's inequality. The nonexistence of positive solutions is also studied.Text10 pages1 file (.pdf)enAttribution 4.0 InternationalPositive solutionFixed point theoremExistenceComplete continuityArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.