On a Theorem of Mierczyński
Herzog, Gerd
Colloquium Mathematicae, Tome 78 (1998), p. 19-29 / Harvested from The Polish Digital Mathematics Library
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We prove that the initial value problem x’(t) = f(t,x(t)), x(0)=x1 is uniquely solvable in certain ordered Banach spaces if f is quasimonotone increasing with respect to x and f satisfies a one-sided Lipschitz condition with respect to a certain convex functional.

Publié le : 1998-01-01
EUDML-ID : urn:eudml:doc:210548 
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     title = {On a Theorem of Mierczy\'nski},
     journal = {Colloquium Mathematicae},
     volume = {78},
     year = {1998},
     pages = {19-29},
     zbl = {0896.34055},
     language = {en},
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Herzog, Gerd. On a Theorem of Mierczyński. Colloquium Mathematicae, Tome 78 (1998) pp. 19-29. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv76z1p19bwm/

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