Geodesic
Relations among various criteria of uniqueness for ordinary differential equations
Commentationes Mathematicae Universitatis Carolinae, Tome 22 (1981) no. 1, pp. 59-70 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 34A10, 34A12 
@article{CMUC_1981_22_1_a4,
     author = {Bana\'s, J\'ozef and Hajnosz, Andrzej and W\k{e}drychowicz, Stanis{\l}aw},
     title = {Relations among various criteria of uniqueness for ordinary differential equations},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {59--70},
     year = {1981},
     volume = {22},
     number = {1},
     mrnumber = {609936},
     zbl = {0448.34002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1981_22_1_a4/}
}
TY  - JOUR
AU  - Banaś, Józef
AU  - Hajnosz, Andrzej
AU  - Wędrychowicz, Stanisław
TI  - Relations among various criteria of uniqueness for ordinary differential equations
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 1981
SP  - 59
EP  - 70
VL  - 22
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/CMUC_1981_22_1_a4/
LA  - en
ID  - CMUC_1981_22_1_a4
ER  - 
%0 Journal Article
%A Banaś, Józef
%A Hajnosz, Andrzej
%A Wędrychowicz, Stanisław
%T Relations among various criteria of uniqueness for ordinary differential equations
%J Commentationes Mathematicae Universitatis Carolinae
%D 1981
%P 59-70
%V 22
%N 1
%U http://geodesic.mathdoc.fr/item/CMUC_1981_22_1_a4/
%G en
%F CMUC_1981_22_1_a4
Banaś, Józef; Hajnosz, Andrzej; Wędrychowicz, Stanisław. Relations among various criteria of uniqueness for ordinary differential equations. Commentationes Mathematicae Universitatis Carolinae, Tome 22 (1981) no. 1, pp. 59-70. http://geodesic.mathdoc.fr/item/CMUC_1981_22_1_a4/

[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).

[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.

[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

[4] E. A. CODDINGTON N. LEVINSON: Theory of ordinary differential equations. New Tork - Toronto - London, McGraw-Hill Book Co., 1955. | MR

[5] K. DEIMLING: Ordinary differential equations in Banach spaces. Lecture Notes in Mathematics, 596, Springer Verlag, 1977. | MR | Zbl

[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

[7] P. HARTMAN: Ordinary differential equations. New York - London - Sydney, John Wiley, 1964. | MR | Zbl

[8] E. KAMKE: Über die eindeutige Bestimmtheit der Integrale von Differentialgleichungen. Math. Z. 32 (1930), 101-107. | MR

[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

[10] C. OLECH: Remarks concerning criteria for uniqueness of solutions of ordinary differential equations. ibidem, 8 (1960), 661-666. | MR | Zbl

[11] C. OLECH A. PLIŚ: Monotonocity assumptions in uniqueness criteria for differential equations. Colloq. Math. 18 (1967), 43-58. | MR

[12] O. PERRON: Über Ein- und Mehrdeutigkeit des Integrals eines Systems von Differentialgleichungen. Math. Ann. 95 (1926), 98-101. | MR

[13] J. SZARSKI: Differential inequalities. Monografie Matematyczne 43, Warszawa 1965. | MR | Zbl

[14] W. WALTER: Bemerkungen zu verschiedenen Eindeutigkeitskriterien für gewöhnliche Differentialgleichungen. Math. Z. 84 (1964), 222-227. | MR | Zbl

[15] W. WALTER: Differential and integral inequalities. Ergebnisse der Mathematik und ihrer Grenzgebiete, 55, Springer Verlag, 1970. | MR | Zbl