Carrasco, HugoMinhos, Feliz2022-06-102022-06-102017-08-01Carrasco, H., & Minhós, F. (2017). Existence of solutions to infinite elastic beam equations with unbounded nonlinearities. Electronic Journal of Differential Equations, 2017(192), pp. 1-11.1072-6691https://hdl.handle.net/10877/15886This article concerns the existence of unbounded solutions to fourth-order boundary-value problem on the half-line with two-point boundary conditions. One-sided Nagumo condition plays a special role as it allows an asymmetric unbounded behavior on the nonlinearity. The arguments are based on the Schauder fixed point theorem and lower and upper solutions method. As an application, an example is given with non-ordered lower and upper solutions, to prove our results.Text11 pages1 file (.pdf)enAttribution 4.0 InternationalHalf line problemSchauder fixed point theoremUnbounded and nonordered upper and lower solutionsOne-sided Nagumo conditionArticle