Existence and stability of solutions for semilinear Dirichlet problems
Volume 88 / 2006
Annales Polonici Mathematici 88 (2006), 127-139
MSC: 35A15, 34B99, 34D99.
DOI: 10.4064/ap88-2-4
Abstract
We provide existence and stability results for semilinear Dirichlet problems with nonlinearities satisfying some general local growth conditions. We derive a general abstract result which we then apply to prove the existence of solutions, their stability and continuous dependence on parameters for a sixth order ODE with Dirichlet type boundary data.
