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 |
. |
Category:
|
math |
. |
MSC:
|
34A10 |
MSC:
|
34A12 |
MSC:
|
34G20 |
idZBL:
|
Zbl 0627.34073 |
idMR:
|
MR889765 |
. |
Date available:
|
2008-06-05T21:27:24Z |
Last updated:
|
2012-04-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106506 |
. |
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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