Estimates for domains of local invertibility of diffeomorphisms |
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| Authors: | Octavian G Mustafa Yuri V Rogovchenko |
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| Institution: | Department of Mathematics, University of Craiova, Al. I. Cuza 13, Craiova, Romania ; Department of Mathematics, Eastern Mediterranean University, Famagusta, TRNC, Mersin 10, Turkey |
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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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| Keywords: | Nonlinear differential equations Peano's existence theorem regularity diffeomorphism local invertibility Wa\ {z}ewski's theorem Hadamard-L\'evy-Plastock condition |
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