| Title:
|
On the equation $y'=f(t,y)$ in Banach spaces (English) |
| Author:
|
Rzepecki, Bogdan |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
24 |
| Issue:
|
4 |
| Year:
|
1983 |
| Pages:
|
609-630 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34G20 |
| idZBL:
|
Zbl 0554.34040 |
| idMR:
|
MR738558 |
| . |
| Date available:
|
2008-06-05T21:16:27Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106260 |
| . |
| Reference:
|
[1] A. AMBROSETTI: Un teorema di esistenza per le equazioni differenziali negli spazi di Banach.Rend. Sem. Mat. Univ. Padova 39 (1967), 349-360. Zbl 0174.46001, MR 0222426 |
| Reference:
|
[2] J. BANAŚ K. GOEBEL: Measure of noncompactness in Banach spaces.Lect. Notes Pure Applied Math. 60, Marcel Dekker, New York 1980. MR 0591679 |
| Reference:
|
[3] J. BANAŚ A. HAJHOSZ S. WEDRYCHOWICZ: Some generalization of Szufla's theorem for ordinary differential equations in Banach space.Bull. Acad. Polon. Sci., Sér. Sci. Math. 29 (1981), 459-464. MR 0646334 |
| Reference:
|
[4] J. DANEŠ: Some fixed point theorems.Comment. Math. Univ. Carolinae 9 (1968), 223-235. MR 0235435 |
| Reference:
|
[5] J. DANEŠ: On denslfying and related mappings and their application in nonlinear functional analysis, Theory of nonlinear operators.Akademie-Verlag, Berlin 1974, 15-56. MR 0361946 |
| Reference:
|
[6] K. DEIMLING: Ordinary differential equations in Banach spaces.Lect. Notes in Math. 596, Springer-Verlag, Berlin 1977. Zbl 0361.34050, MR 0463601 |
| Reference:
|
[7] K. GOEBEL W. RZYMOWSKI: An existence theorem for the equation $x' = f(t,x)$ in Banach space.Bull. Acad. Polon. Sol., Sér. Sol. Math. Astronom. Phys. 28 (1970), 367-370. MR 0269957 |
| Reference:
|
[8] M. A. KPACHOCEЛЬCKИЙ C. Г. KPEЙH: O npинсипe ycpeднения в нeлинейной механике.Ycnexн Mат. Hayx 10 (1955), 147-152. |
| Reference:
|
[9] K. KURATOWSKI: Sur les espaces complete.Fund. Math. 15 (1930), 301-309. |
| Reference:
|
[10] V. LAKSHMIKANTHAM S. LEELA: Differential and integral inequalities.Vol. 1, Academic Press, New York 1969. |
| Reference:
|
[11] B. RZEPECKI: On the operator equation in Banach spaces.Demonstratio Math. 12 (1979), 189-201. Zbl 0421.47034, MR 0542317 |
| Reference:
|
[12] B. RZEPECKI: Some properties of the set of solutions on an operator equation in a Banach space.Comment. Math. 22 (1978), 467-478. MR 0519385 |
| Reference:
|
[13] B. RZEPECKI: On measure of noncompactness in topological spaces.Comment. Math. Univ. Carolinae 23 (1982), 105-116. MR 0653354 |
| Reference:
|
[14] B. RZEPECKI: Euler polygons and Kneser's theorem for solutions of differential equations in Banach spaces.Comment. Math. Univ. Carolinae 23 (1982), 657-669. Zbl 0517.34049, MR 0687561 |
| Reference:
|
[15] B. N. SADOVSKII: Limit compact and condensing operators.Russian Math. Surveys 27 (1972), 86-144. MR 0428132 |
| Reference:
|
[16] A. STOKES: The application of a fixed-point theorem to a variety of nonlinear stability problems.Proc. Nat. Acad. Sci. U.S.A. 45 (1959), 231-235. MR 0104006 |
| Reference:
|
[17] J. SZARSKI: Differential inequalities.PWN, Warszawa 1965. Zbl 0135.25804, MR 0190409 |
| Reference:
|
[18] S. SZUFLA: Some remarks on ordinary differential equations in Banach spaces.Bull. Acad. Polon. Sci., Sér. Sci. Math. Astronom. Pnys. 16 (1968), 795-800. Zbl 0177.18902, MR 0239238 |
| Reference:
|
[19] S. SZUFLA: Solutions sets of nonlinear equations.Bull. Acad. Polon. Sci., Sér. Sci. Math. Astronom. Pnys. 21 (1973), 971-976. Zbl 0272.34086, MR 0344959 |
| Reference:
|
[20] S. SZUFLA: Some properties of the solutions set of ordinary differential equations.Bull. Acad. Polon. Sci., Sér. Sci. Math. Astronom. Pnys. 22 (1974), 675-678. Zbl 0289.34096, MR 0355245 |
| Reference:
|
[21] S. SZUFLA: Kneser's theorem for weak solutions of ordinary differential equations in reflexive Banach spaces.Bull. Acad. Polon. Sci., Sér. Sci. Math. Astronom. Phys. 26 (1978), 407-413. Zbl 0384.34039, MR 0492684 |
| . |
