On some topological view on the abstract cauchy-kowalewski problem

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.

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Bibliographic Details
Published inComplex variables, theory & application Vol. 49; no. 10; pp. 703 - 709
Main Author Zubelevich, Oleg
Format Journal Article
LanguageEnglish
Published Taylor & Francis Group 15.08.2004
Subjects
2000 Mathematics Subject Classification: 35A10
Fixed point theorems
Nishida's theorem
Scales of Banach spaces
Weighted Banach space
Online AccessGet full text
ISSN0278-1077
1563-5066
DOI10.1080/02781070410001722323

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Summary: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.
ISSN:0278-1077
1563-5066
DOI:10.1080/02781070410001722323