Remarks concerning J. Witte's theorem and its applications
Commentationes Mathematicae Universitatis Carolinae, Tome 28 (1987) no. 1, pp. 23-31 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 34A10, 34A12, 34G20
@article{CMUC_1987_28_1_a3,
     author = {Bana\'s, J\'ozef and Rivero, Jesus},
     title = {Remarks concerning {J.} {Witte's} theorem and its applications},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {23--31},
     year = {1987},
     volume = {28},
     number = {1},
     mrnumber = {889765},
     zbl = {0627.34073},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1987_28_1_a3/}
}
TY  - JOUR
AU  - Banaś, Józef
AU  - Rivero, Jesus
TI  - Remarks concerning J. Witte's theorem and its applications
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 1987
SP  - 23
EP  - 31
VL  - 28
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/CMUC_1987_28_1_a3/
LA  - en
ID  - CMUC_1987_28_1_a3
ER  - 
%0 Journal Article
%A Banaś, Józef
%A Rivero, Jesus
%T Remarks concerning J. Witte's theorem and its applications
%J Commentationes Mathematicae Universitatis Carolinae
%D 1987
%P 23-31
%V 28
%N 1
%U http://geodesic.mathdoc.fr/item/CMUC_1987_28_1_a3/
%G en
%F CMUC_1987_28_1_a3
Banaś, Józef; Rivero, Jesus. Remarks concerning J. Witte's theorem and its applications. Commentationes Mathematicae Universitatis Carolinae, Tome 28 (1987) no. 1, pp. 23-31. http://geodesic.mathdoc.fr/item/CMUC_1987_28_1_a3/

[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

[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

[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

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

[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

[6] V. LAKSHMIKANTHAM S. LEELA: Differential and integral inequalities. Academic Press, New York 1969.

[7] S. ŁOJASIEWICZ: An introduction to the theory of real functions. PWN Warszawa, 1975 (in Polish).

[8] M. NAGUMO: Eine hinreichende Bedingung für die Unität der Lösung von Differentialgleichung erster Ordnung. Japan J. Math., 3 (1926), 107-112.

[9] T. ROGERS: On Nagumo's condition. Canad. Math. Bull., 15 (1972), 609-611. | MR | Zbl

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

[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. | MR | Zbl

[12] W. WALTER: Differential and integral inequalities. Springer Verlag 1970. | MR | Zbl

[13] J. WITTE: Ein Eindeutigkeitssatz für die Differentialgleichung $y' = f(x,y)$. Math. Zeit.140 (1974), 281-287. | MR | Zbl