Geodesic
Existence and stability of solutions for semilinear Dirichlet problems
Marek Galewski1
1Faculty of Mathematics University of /L/od/x Banacha 22 90-238 /L/od/x, Poland
Annales Polonici Mathematici, Volume 88 (2006) no. 2, pp. 127-139

See the original article notice from the Institute of Mathematics Polish Academy of Sciences source

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.
DOI: 10.4064/ap88-2-4
Keywords: provide existence stability results semilinear dirichlet problems nonlinearities satisfying general local growth conditions derive general abstract result which apply prove existence solutions their stability continuous dependence parameters sixth order ode dirichlet type boundary

Marek Galewski  1

1 Faculty of Mathematics University of /L/od/x Banacha 22 90-238 /L/od/x, Poland 
Marek Galewski. Existence and stability of solutions for
 semilinear Dirichlet problems. Annales Polonici Mathematici, Volume 88 (2006) no. 2, pp. 127-139. doi: 10.4064/ap88-2-4
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