Existence and stability of solutions for semilinear Dirichlet problems
Marek Galewski
Annales Polonici Mathematici, Tome 89 (2006), p. 127-139 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2006-01-01
EUDML-ID : urn:eudml:doc:281125 
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     title = {Existence and stability of solutions for semilinear Dirichlet problems},
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     year = {2006},
     pages = {127-139},
     zbl = {1117.34017},
     language = {en},
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Marek Galewski. Existence and stability of solutions for semilinear Dirichlet problems. Annales Polonici Mathematici, Tome 89 (2006) pp. 127-139. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap88-2-4/