Estimates for domains of local invertibility of diffeomorphisms

被引：0
|
作者：
Mustafa, Octavian G. [1 ]
Rogovchenko, Yuri V.
机构：
[1] Univ Craiova, Dept Math, Craiova, Romania
[2] Eastern Mediterranean Univ, Dept Math, TRNC, Mersin 10, Turkey
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2007年 / 135卷 / 01期
关键词：
nonlinear differential equations; Peano's existence theorem; regularity; diffeomorphism; local invertibility; Wazewski's theorem; Hadamard-Levy-Plastock condition;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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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页码：69 / 75
页数：7
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