Geodesic
On a Theorem of Mierczyński
Colloquium Mathematicum, Tome 76 (1998) no. 1, pp. 19-29.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We prove that the initial value problem x'(t) = f(t,x(t)), $x(0) = x_1$ 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.
DOI : 10.4064/cm-76-1-19-29

Gerd Herzog 1

1 
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Gerd Herzog. On a Theorem of Mierczyński. Colloquium Mathematicum, Tome 76 (1998) no. 1, pp. 19-29. doi : 10.4064/cm-76-1-19-29. http://geodesic.mathdoc.fr/articles/10.4064/cm-76-1-19-29/

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