| Title:
|
Relations among various criteria of uniqueness for ordinary differential equations (English) |
| Author:
|
Banaś, Józef |
| Author:
|
Hajnosz, Andrzej |
| Author:
|
Wędrychowicz, Stanisław |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
22 |
| Issue:
|
1 |
| Year:
|
1981 |
| Pages:
|
59-70 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34A10 |
| MSC:
|
34A12 |
| idZBL:
|
Zbl 0448.34002 |
| idMR:
|
MR609936 |
| . |
| Date available:
|
2008-06-05T21:07:06Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106053 |
| . |
| Reference:
|
[1] J. BANAŚ A. HAJNOSZ S. WEDRYCHOWICZ: Some generalization of Szufla's theorem for ordinary differential equationa in Banach spaces.Bull. Acad. Polon. Sci. (preprint). |
| Reference:
|
[2] E. BOMPIANI: Un teorema di confronto ed un teorema di unicita per l'equazione differenziale $y' = f(x,y)$.Atti Accad. Naz. Lincei. Rend. Classe Sci. Fis. Mat. Nat. 6,1 (1925), 298-302. |
| Reference:
|
[3] F. CAFIERO: Su due teoremi di confronto relativi ad un'quazione differenziale del ordinaria del primo ordine.Boll. Univ. Mat. Ital. 3, 3 (1948), 124-128. MR 0027392 |
| Reference:
|
[4] E. A. CODDINGTON N. LEVINSON: Theory of ordinary differential equations.New Tork - Toronto - London, McGraw-Hill Book Co., 1955. MR 0069338 |
| Reference:
|
[5] K. DEIMLING: Ordinary differential equations in Banach spaces.Lecture Notes in Mathematics, 596, Springer Verlag, 1977. Zbl 0361.34050, MR 0463601 |
| Reference:
|
[6] K. GOEBEL W. RZYMOWSKI: An existence theorem for the equations $x' = f(t,x)$ in Banach space.Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 18, 7 (1970), 367-370. MR 0269957 |
| Reference:
|
[7] P. HARTMAN: Ordinary differential equations.New York - London - Sydney, John Wiley, 1964. Zbl 0125.32102, MR 0171038 |
| Reference:
|
[8] E. KAMKE: Über die eindeutige Bestimmtheit der Integrale von Differentialgleichungen.Math. Z. 32 (1930), 101-107. MR 1545153 |
| Reference:
|
[9] J. KISYŃSKI: Sur les équations différentielles dans les espaces de Banach.Bull. Acad. Polon. Sei. Sér. Sci. Math. Astronom. Phys. 7 (1959), 381-385. MR 0111919 |
| Reference:
|
[10] C. OLECH: Remarks concerning criteria for uniqueness of solutions of ordinary differential equations.ibidem, 8 (1960), 661-666. Zbl 0173.33701, MR 0132228 |
| Reference:
|
[11] C. OLECH A. PLIŚ: Monotonocity assumptions in uniqueness criteria for differential equations.Colloq. Math. 18 (1967), 43-58. MR 0224886 |
| Reference:
|
[12] O. PERRON: Über Ein- und Mehrdeutigkeit des Integrals eines Systems von Differentialgleichungen.Math. Ann. 95 (1926), 98-101. MR 1512265 |
| Reference:
|
[13] J. SZARSKI: Differential inequalities.Monografie Matematyczne 43, Warszawa 1965. Zbl 0135.25804, MR 0190409 |
| Reference:
|
[14] W. WALTER: Bemerkungen zu verschiedenen Eindeutigkeitskriterien für gewöhnliche Differentialgleichungen.Math. Z. 84 (1964), 222-227. Zbl 0125.04401, MR 0167676 |
| Reference:
|
[15] W. WALTER: Differential and integral inequalities.Ergebnisse der Mathematik und ihrer Grenzgebiete, 55, Springer Verlag, 1970. Zbl 0252.35005, MR 0271508 |
| . |
