Higher order functional boundary value problems without monotone assumptions
1 School of Mathematics, Physics and Technology, College of the Bahamas, Nassau, Bahamas
2 Department of Mathematics, School of Sciences and Technology, University of Évora, Évora, Portugal
3 Research Centre on Mathematics and Applications, University of Évora (CIMA-UE), Rua Romão Ramalho, 59, Évora, 7000-671, Portugal
Boundary Value Problems 2013, 2013:81 doi:10.1186/1687-2770-2013-81Published: 10 April 2013
Here, , , are continuous functions. It will be proved an existence and location result in presence of not necessarily ordered lower and upper solutions, without assuming any monotone properties on the boundary conditions and on the nonlinearity f.