Resumen de Existence of solutions of third-order functional problems with nonlinear boundary conditions

Alberto Cabada Fernández, S. Heikkila

• In this paper some existence results for third-order differential equations with nonlinear boundary value conditions are derived. Functional dependence in the data is allowed. In the proofs we use the method of upper and lower solutions, Schauder's fixed point theorem and results from Cabada and Heikkilä on third-order differential equations with linear and nonfunctional initial-boundary value conditions.