Second-order discontinuous problems with nonlinear functional boundary conditions on the half-line

López Pouso, RodrigoRodríguez López, Jorge2025-12-152025-12-1520181417-3875https://hdl.handle.net/10347/44472We establish sufficient conditions for the existence of extremal solutions for a second-order problem on the half-line with discontinuous right-hand side and nonlinear boundary conditions. Our results are new even in the classical case of continuous nonlinearities. We illustrate their applicability with an example.engAttribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Discontinuous differential equationsUpper and lower solutionsHalf line problemsFixed point theoremsExtremal solutionsSecond-order discontinuous problems with nonlinear functional boundary conditions on the half-linejournal article10.14232/ejqtde.2018.1.79open access