We prove the existence of extremal solutions of Dirichlet boundary value problems for u''a + fa(t,u,u'a) = 0 in l∞(A) between a generalized pair of upper and lower functions with respect to the coordinatewise ordering, and for f quasimonotone increasing in its second variable.
@article{urn:eudml:doc:38775, title = {On BVPs in l$\infty$(A).}, journal = {Extracta Mathematicae}, volume = {20}, year = {2005}, pages = {13-23}, zbl = {1084.34016}, mrnumber = {MR2149121}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:38775} }
Herzog, Gerd; Lemmert, Roland. On BVPs in l∞(A).. Extracta Mathematicae, Tome 20 (2005) pp. 13-23. http://gdmltest.u-ga.fr/item/urn:eudml:doc:38775/