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Necessary and Sufficient Conditions for the Lipschitzian Invertibility of the Nonlinear Differential Mapping <MATH>d/dt-f</MATH> in the Spaces <MATH>L_p({\Bbb R},{\Bbb R})</MATH>, <MATH>1\le p\le\infty</MATH>.
- Source :
- Mathematical Notes; May/Jun2003, Vol. 73 Issue 5/6, p843-854, 12p
- Publication Year :
- 2003
-
Abstract
- We obtain necessary and sufficient conditions for the Lipschitzian invertibility of the differential mapping <MATH>d/dt- \nomathbreak f</MATH>, where <MATH>f\:{\Bbb R}\to{\Bbb R}</MATH> is a continuous mapping, in the spaces <MATH>L_p({\Bbb R},{\Bbb R})</MATH>, <MATH>1\le p\le \nomathbreak \infty</MATH>. [ABSTRACT FROM AUTHOR]
- Subjects :
- NUMERICAL analysis
NONLINEAR difference equations
MATHEMATICAL analysis
MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 00014346
- Volume :
- 73
- Issue :
- 5/6
- Database :
- Complementary Index
- Journal :
- Mathematical Notes
- Publication Type :
- Academic Journal
- Accession number :
- 16822855
- Full Text :
- https://doi.org/10.1023/A:1024058015313