Grossinho, Maria do RosárioMinhós, F.M.Santos, A.I.2023-04-192023-04-192005Grossinho, Maria do Rosário., F. M. Minhós and A. I. Santos.(2005). "Existence result for a third-order ODE with nonlinear boundary conditions in presence of a sign-type Nagumo control". Journal of Mathematical Analysis and Applications, Vol. 309, No. 1 : pp. 271-283. (Search PDF in 2023).0022-247Xhttp://hdl.handle.net/10400.5/27645In this work we provide an existence and location result for the third-order nonlinear differential equation... We assume that f satisfies a sign-type Nagumo condition which allows an asymmetric unbounded behaviour on the nonlinearity. The arguments used concern Leray–Schauder degree theory and lower and upper solutions technique.engThird-order Separated Boundary Value ProblemsSign-type Nagumo ConditionLower and Upper SolutionsA Priori EstimatesLeray–Schauder Degreejournal article10.1016/j.jmaa.2005.01.030