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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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