Proceedings of the American Mathematical Society

Author(s): Octavian G. Mustafa; Yuri V. Rogovchenko
Journal: Proc. Amer. Math. Soc. 135 (2007), 69-75.
MSC (2000): Primary 34A12, 57R50
Posted: July 28, 2006
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Abstract: Using a novel Wintner-type formulation of the classical Peano's existence theorem [Math. Ann. 37 (1890), 182-228], we enhance Wazewski's result on invertibility of maps defined on closed balls [Ann. Soc. Pol. Math. 20 (1947), 81-125] securing the size of the domain of invertibility that agrees with the bounds derived by John [Comm. Pure Appl. Math. 21 (1968), 77-110] and Sotomayor [Z. Angew. Math. Phys. 41 (1990), 306-310].

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 34A12, 57R50

Octavian G. Mustafa
Affiliation: Department of Mathematics, University of Craiova, Al. I. Cuza 13, Craiova, Romania
Email: octaviangenghiz@yahoo.com

Yuri V. Rogovchenko
Affiliation: Department of Mathematics, Eastern Mediterranean University, Famagusta, TRNC, Mersin 10, Turkey
Email: yuri.rogovchenko@emu.edu.tr

DOI: 10.1090/S0002-9939-06-08444-9
PII: S 0002-9939(06)08444-9
Keywords: Nonlinear differential equations, Peano's existence theorem, regularity, diffeomorphism, local invertibility, Wa\.{z}ewski's theorem, Hadamard-L\'evy-Plastock condition
Received by editor(s): June 23, 2005
Posted: July 28, 2006
Additional Notes: This research was supported in part by the Mathematisches Forschungsinstitut Oberwolfach, Germany through the Program \textquotedblleft Research in Pairs\textquotedblright (O.M. and Y.R.) and by the Abdus Salam International Centre for Theoretical Physics, Trieste, Italy, through the Young Collaborators Program (O.M.) and the Associateship Scheme (Y.R.).
Communicated by: Carmen C. Chicone
Copyright of article: Copyright 2006, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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