| Title:
|
On measures of noncompactness in topological vector spaces (English) |
| Author:
|
Rzepecki, Bogdan |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
23 |
| Issue:
|
1 |
| Year:
|
1982 |
| Pages:
|
105-116 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34G20 |
| MSC:
|
47E05 |
| MSC:
|
47H10 |
| idZBL:
|
Zbl 0494.47036 |
| idMR:
|
MR653354 |
| . |
| Date available:
|
2008-06-05T21:10:48Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106135 |
| . |
| Reference:
|
[1] A. AMBROSETTI: Un teorema di esistenza per le equazioni differenziali negli spazi di Banach.Rend. Sem. Mat. Padova 39 (1967), 349-360. Zbl 0174.46001, MR 0222426 |
| Reference:
|
[2] C. BERGE: Topological Spaces.Edinburgh and London, 1963. Zbl 0114.38602 |
| Reference:
|
[3] E. CRAMER V. LAKSHMIKANTHAN A. R. MITCHELL: On the existence of weak solutions of differential equations in nonreflexive Banach spaces.Nonlinear Analysis. Theory, Methods and Applications 2 (1978), 169-177. MR 0512280 |
| Reference:
|
[4] J. DANEŠ: Some fixed point theorems.Comment. Math. Univ. Carolinae 9 (1968), 223-235. MR 0235435 |
| Reference:
|
[5] G. DARBO: Punti uniti in transformazioni a codomino non compatto.Rend. Sem. Mat. Univ. Padova 24 (1955), 84-92. MR 0070164 |
| Reference:
|
[6] F. DE BLASI: On a property of the unit sphere in a Banach space.Bull. Math, de la Soc. Sci. de la R.S. de Roumanie 21 (69) (1977), 259-262. Zbl 0365.46015, MR 0482402 |
| Reference:
|
[7] K. DEIMLING: Ordinary Differential Equations in Banach Spaces.Lect. Notes in Math. 596, Springer-Verlag, 1977. Zbl 0361.34050, MR 0463601 |
| Reference:
|
[8] K. KURATOWSKI: Topologie. Vol. 1.Academic Press, New York, 1966. MR 0217751 |
| Reference:
|
[9] R. H. MARTIN, Jr.: Nonlinear Operators and Differential Equations in Banach Spaces.John Wiley and Sons, New York, 1976. Zbl 0333.47023, MR 0492671 |
| Reference:
|
[10] M. Z. NASHED J. S. W. WONG: Some variants of a fixed point theorem of Krasnoselskii and applications to non-linear integral equations.J. Math. Mech. 18 (1969), 767-777. MR 0238140 |
| Reference:
|
[11] J. M. ORTEGA W. C. RHEINBOLDT: Iterative Solutions of Nonlinear Equations in Several Variables.Academic Press, New York, 1970. MR 0273810 |
| Reference:
|
[12] B. RZEPECKI: Differential equations in linear spaces.Ph.D. Thesis. A. Mickiewicz University, Poznań 1976. |
| Reference:
|
[13] B. RZEPECKI: On the method of Euler polygons for the differential equations in locally convex spaces.Bull. Acad. Polon. Sci., Sér. Sci. Math. Astronom. Phys. 23 (1975), 411-414. MR 0374593 |
| Reference:
|
[14] B. RZEPECKI: A functional differential equation in m Banach space.Ann. Polon. Math. 36 (1979), 95-100. MR 0529310 |
| Reference:
|
[15.] B. N. SADOVSKII: Limit compact and condensing operators.Russian Math. Surveys 27 (1972), 86-144. MR 0428132 |
| Reference:
|
[16] A. SZÉP: Existence theorem for weak solutions of ordinary differential equations in reflexive Banach spaces.Studia Scientiarum Math. Hungarica 6 (1971), 197-203. MR 0330688 |
| Reference:
|
[17] S. SZUFLA: Some remarks on ordinary differential equations in Banach space.Bull. Acad. Polon. Sci., Sér. Sci. Math. Astronom. Phys. 16 (1968), 795-800. MR 0239238 |
| Reference:
|
[18] 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 |
| . |
