Nagumo conditions and second-order quasilinear equations with compatible nonlinear functional boundary conditions
Jean L. Mawhin, H.B. Thompson · Rocky Mountain Journal of Mathematics · 2011
We establish existence results for solutions to nonlinear functional boundary value problems for nonlinear second-order ordinary differential equations assuming there are lower and upper solutions and the right side satisfies a Nagumo growth bound. Our results contain as special cases many results for the p- and ø-Laplacians as well as many results where the boundary conditions depend on n-points or even functionals. Copyright © 2011 Rocky Mountain Mathematics Consortium.