| Title:
|
On the equation $x' = f(t, x)$ in Banach spaces (English) |
| Author:
|
Banaś, Józef |
| Author:
|
Hajnosz, Andrzej |
| Author:
|
Wedrychowicz, Stanisław |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
23 |
| Issue:
|
2 |
| Year:
|
1982 |
| Pages:
|
233-247 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34G20 |
| MSC:
|
47H09 |
| idZBL:
|
Zbl 0502.34050 |
| idMR:
|
MR664970 |
| . |
| Date available:
|
2008-06-05T21:11:22Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106148 |
| . |
| Reference:
|
[1] A. AMBROSETTI: Un teorema di esistenza per le equazioni differenziali negli spazi di Banach.Rend. Sem. Mat. Univ. Padova 39 (1967), 354-360. Zbl 0174.46001, MR 0222426 |
| Reference:
|
[2] J. BANAŚ: On measures of noncompactness in Banach spaces.Comment. Math. Univ. Carolinae 21 (1980), 131-143. MR 0566245 |
| Reference:
|
[3] J. BANAŚ K. GOEBEL: Measures of noncompactness in Banach spaces.Lecture Notes in Pure and Applied Mathematics, Marcel Dekker, Inc., Vol. 60 (1980), New York and Basel. MR 0591679 |
| Reference:
|
[4] A. CELLINA: On the local existence of solutions of ordinary differential equations.Bull. Acad. Polon. Sci., Sér. Sci. Math. Astronom. Phys. 20 (1972), 293-296. Zbl 0255.34053, MR 0315237 |
| Reference:
|
[5] J. DANEŠ: On densifying and related mappings and their applications in nonlinear functional analysis.Theory of Nonlinear Operators, Akademie-Verlag, Berlin 1974, 15-56. MR 0361946 |
| Reference:
|
[6] G. DARBO: Punti uniti in transformazioni a condominino non compatto.Rend. Sem. Math. Univ. Padova 24 (1955), 84-92. MR 0070164 |
| Reference:
|
[7] K. DEIMLING: Ordinary differential equations in Banach spaces.Lecture Notes in Mathematics 596, Springer Verlag 1977. Zbl 0361.34050, MR 0463601 |
| Reference:
|
[8] K. GOEBEL W. RZYMOWSKT: An existence theorem for the equation $x = f(t,x)$ in Banach space.Bull. Acad. Polon. Sci., Sér. Sci. Math. Astronom. Phys. 18 (1970), 367-370. MR 0269957 |
| Reference:
|
[9] K. KURATOWSKI: Sur les espaces complets.Fund. Math. 15 (1930), 301-309. |
| Reference:
|
[10] T. ROGER: On Nagumo's condition.Canad. Math. Bull. 15 (1972), 609-611. |
| Reference:
|
[11] B. RZEPECKI: Remarks on Schauder's Fixed point principle and its applications.Bull. Acad. Polon. Sci., Sér. Sci. Math. 27 (1979), 473-480. Zbl 0435.47057, MR 0560183 |
| Reference:
|
[12] B. N. SADOVSKI: Limit compact and condensing operators.Russian Math. Surveys 27 (1972), 86-144. MR 0428132 |
| Reference:
|
[13] S. SZUFLA: Some remarks on ordinary differential equations in Banach spaces.Bull. Acad. Polon. Sci., Sér. Sci. Math. Astronom. Phys. 16 (1968), 795-800. Zbl 0177.18902, MR 0239238 |
| Reference:
|
[14] S. SZUFLA: Measure of noncompactness and ordinary differential equations in Banach spaces.ibidem, 19 (1971), 831-835. MR 0303043 |
| Reference:
|
[15] 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 |
| . |
