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On some topological view on the abstract cauchy-kowalewski problem
Author:
Oleg Zubelevich ab
| Affiliations: | a Department (#803) of Differential Equations, Moscow State Aviation Institute, Moscow, Russia |
| b Communicated by W. Tutschke, |
DOI:
10.1080/02781070410001722323
Publication Frequency:
12 issues per year
Published in:
Complex Variables and Elliptic Equations,
Volume
49,
Issue
10
August
2004
, pages 703
- 709
Complex Variables and Elliptic Equations,
Volume
49,
Issue
10
August
2004
, pages 703
- 709
Subjects:
Analysis - Mathematics;
Complex Variables;
Computational Numerical Analysis;
Functional Analysis;
Mathematical Analysis;
Theory of Numbers;
Number of References: 9
Formats available:
HTML
(English)
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PDF
(English)
Previously published as:
Complex Variables, Theory and Application: An International Journal
(0278-1077,
1563-5066)
until 2006
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Abstract
We consider an abstract version of the Cauchy-Kowalewski Problem with the right-hand side being free from the Lipschitz-type conditions, and prove the existence theorem.
|
| Keywords: Weighted Banach space; Nishida's theorem; Scales of Banach spaces; Fixed point theorems; 2000 Mathematics Subject Classification: 35A10 |
| view references (9) |
|
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