| Title: | Remarks concerning J. Witte's theorem and its applications (English) | 
| Author: | Banaś, Józef | 
| Author: | Rivero, Jesus | 
| Language: | English | 
| Journal: | Commentationes Mathematicae Universitatis Carolinae | 
| ISSN: | 0010-2628 (print) | 
| ISSN: | 1213-7243 (online) | 
| Volume: | 28 | 
| Issue: | 1 | 
| Year: | 1987 | 
| Pages: | 23-31 | 
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| Category: | math | 
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| MSC: | 34A10 | 
| MSC: | 34A12 | 
| MSC: | 34G20 | 
| idZBL: | Zbl 0627.34073 | 
| idMR: | MR889765 | 
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| Date available: | 2008-06-05T21:27:24Z | 
| Last updated: | 2012-04-28 | 
| Stable URL: | http://hdl.handle.net/10338.dmlcz/106506 | 
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| Reference: | [1] J. BANAŚ K. GOEBEL: Measures of noncompactness in Banach spaces.Marcel Dekker, Lecture Notes in Pure and Applied Math., vol. 60 (1980), New York and Basel. MR 0591679 | 
| Reference: | [2] J. BANAŚ A. HAJNOSZ S. WĘDRYCHOWICZ: Relations among various criteria of uniqueness for ordinary differential equations.Comment. Math. Univ. Carolinae 22 (1981), 59-70. MR 0609936 | 
| Reference: | [3] J. BANAŚ A. HAJNOSZ S. WĘDRYCHOWICZ: On the equation $x' =  f(t,x)$ in Banach spaces.Comment. Math. Univ. Carolinae 23 (1982), 233-247. MR 0664970 | 
| Reference: | [4] K. DEIMLING: Ordinary differential equations in Banach spaces.Lecture Notes in Math., 596, Springer Verlag 1977. Zbl 0361.34050, MR 0463601 | 
| Reference: | [5] K. GOEBEL W. RZYMOWSKI: An existence theorem for the equation $x'=f(t,x)$ in Banach spaces.Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys., 18 (1970), 367-370. MR 0269957 | 
| Reference: | [6] V. LAKSHMIKANTHAM S. LEELA: Differential and integral inequalities.Academic Press, New York 1969. | 
| Reference: | [7] S. ŁOJASIEWICZ: An introduction to the theory of real functions.PWN Warszawa, 1975 (in Polish). | 
| Reference: | [8] M. NAGUMO: Eine hinreichende Bedingung für die Unität der Lösung von Differentialgleichung erster Ordnung.Japan J. Math., 3 (1926), 107-112. | 
| Reference: | [9] T. ROGERS: On Nagumo's condition.Canad. Math. Bull., 15 (1972), 609-611. Zbl 0254.34008, MR 0311965 | 
| Reference: | [10] J. SZARSKI: Differential inequalities.Monografie Matematyczne 43, Warszawa 1965.     Zbl 0135.25804, MR 0190409 | 
| Reference: | [11] S. SZUFLA: On the existence of solutions of ordinary differential equations in Banach spaces.Boll. Un. Mat. Ital., 5, 15-A (1978), 535-544. Zbl 0402.34002, MR 0521098 | 
| Reference: | [12] W. WALTER: Differential and integral inequalities.Springer Verlag 1970.                                                         Zbl 0252.35005, MR 0271508 | 
| Reference: | [13] J. WITTE: Ein Eindeutigkeitssatz für die Differentialgleichung $y' = f(x,y)$.Math. Zeit.140 (1974), 281-287. Zbl 0289.34007, MR 0377147 | 
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