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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| Published in | Complex variables, theory & application Vol. 49; no. 10; pp. 703 - 709 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Taylor & Francis Group
15.08.2004
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0278-1077 1563-5066 |
| DOI | 10.1080/02781070410001722323 |
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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. |
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| AbstractList | 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. |
| Author | Zubelevich, Oleg |
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| Cites_doi | 10.1007/BF01364275 10.4310/jdg/1214430643 10.4310/jdg/1214434231 10.1002/cpa.3160480604 |
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| References | Ovsjannikov L (bib5) 1965; 163 Browder FE (bib1) 1967; 174 Yamanaka T (bib9) 1960; 9 Schwartz L (bib7) 1967 Nirenberg L (bib2) 1972; 6 bib6 Treves J (bib8) 1968 Nishida T (bib4) 1977; 12 Nirenberg L (bib3) 1974 |
| References_xml | – volume-title: Topics in Nonlinear Functional Analysis, New York Univ year: 1974 ident: bib3 – volume-title: Notas Mat. year: 1968 ident: bib8 – volume: 174 start-page: 285 year: 1967 ident: bib1 publication-title: Math. Ann. doi: 10.1007/BF01364275 – volume: 9 start-page: 7 year: 1960 ident: bib9 publication-title: Comment. Math. Univ. St. Paul. – volume: 6 start-page: 561 year: 1972 ident: bib2 publication-title: J. Differential Geometry doi: 10.4310/jdg/1214430643 – volume: 163 start-page: 819, 1025 year: 1965 ident: bib5 publication-title: Dokl. Akad. Nauk., SSSR, Soviet Math. Dokl. – volume-title: Analyse Mathématique year: 1967 ident: bib7 – volume: 12 start-page: 629 year: 1977 ident: bib4 publication-title: J. Differential Geometry doi: 10.4310/jdg/1214434231 – ident: bib6 doi: 10.1002/cpa.3160480604 |
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| SubjectTerms | 2000 Mathematics Subject Classification: 35A10 Fixed point theorems Nishida's theorem Scales of Banach spaces Weighted Banach space |
| Title | On some topological view on the abstract cauchy-kowalewski problem |
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