Open Access
1999/2000 On Carathéodoryʼs Conditions Revisited
Dariusz Bugajewski
Real Anal. Exchange 25(2): 899-906 (1999/2000).


In [3] we proved that generalized Carathéodory's conditions (the so called (G) conditions) introduced in [6], imply well-known general conditions (the so called (CL) conditions) which guarantee existence and some properties of solutions of the Cauchy problem, in the Carathéodory sense. In this paper we prove that these two conditions are equivalent.


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Dariusz Bugajewski. "On Carathéodoryʼs Conditions Revisited." Real Anal. Exchange 25 (2) 899 - 906, 1999/2000.


Published: 1999/2000
First available in Project Euclid: 3 January 2009

MathSciNet: MR1778541

Primary: 26B35 , 34A12

Keywords: Carath\'eodory conditions , Carath\'eodory solution , Initial value problem

Rights: Copyright © 1999 Michigan State University Press

Vol.25 • No. 2 • 1999/2000
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