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Title

On a Theorem of Mierczyński

Authors 1

Affiliations

  1. Mathematisches Institut I, Universität Karlsruhe, D-76128 Karlsruhe, Germany

Abstract

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.

Bibliography

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Colloquium Mathematicum
1998/76/1
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Pages:
19-29
Main language of publication
English
Received
1997-05-20
Accepted
1997-08-01
Published
1998
Exact and natural sciences