On extremal fixed points in Schauder's theorem with applications to differential equations
Cid, J. Ángel
Bull. Belg. Math. Soc. Simon Stevin, Tome 11 (2004) no. 1, p. 15-20 / Harvested from Project Euclid
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We derive necessary and sufficient conditions for the existence of a least and a greatest fixed point of an operator which satisfies the hypothesis of Schauder's theorem. The so obtained results are applied to prove existence of extremal solutions for some initial and boundary value problems.
Publié le : 2004-03-14
Classification:  Directed set,  Schauder's fixed point theorem,  extremal fixed points,  extremal solutions for boundary value problems,  06Axx,  47H10,  34Bxx 
@article{1080056156,
     author = {Cid, J. \'Angel},
     title = {On extremal fixed points in Schauder's theorem with applications to differential equations},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {11},
     number = {1},
     year = {2004},
     pages = { 15-20},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1080056156}
}

Cid, J. Ángel. On extremal fixed points in Schauder's theorem with applications to differential equations. Bull. Belg. Math. Soc. Simon Stevin, Tome 11 (2004) no. 1, pp.  15-20. http://gdmltest.u-ga.fr/item/1080056156/