| Title:
|
On bounded solutions of a linear differential equation with a nonlinear perturbation (English) |
| Author:
|
Rzepecki, Bogdan |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
25 |
| Issue:
|
4 |
| Year:
|
1984 |
| Pages:
|
635-645 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34A34 |
| MSC:
|
34C11 |
| MSC:
|
34G20 |
| idZBL:
|
Zbl 0558.34052 |
| idMR:
|
MR782013 |
| . |
| Date available:
|
2008-06-05T21:19:32Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106330 |
| . |
| 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] M. BOUDOURIDES: On bounded solutions of nonlinear ordinary differential equations.Comment. Math. Univ. Carolinae 22 (1981), 15-26. Zbl 0448.34038, MR 0609933 |
| Reference:
|
[3] J. DANEŠ: On densifying and related mappings and their application in nonlinear functional analysis.Theory of nonlinear operators, Akademie-Verlag, Berlin 1974, 15-56. MR 0361946 |
| Reference:
|
[4] K. DEIMLING: Ordinary differential equations in Banach spaces.Lect. Notes in Math. 596, Springer-Verlag, Berlin 1977. Zbl 0361.34050, MR 0463601 |
| Reference:
|
[5] K. KURATOWSKI: Sur les espaces complete.Fund. Math. 15 (1930), 301-309. |
| Reference:
|
[6] R. MARTIN: Nonlinear operators and differential equations in Banach spaces.Wiley Publ., New York 1976. Zbl 0333.47023, MR 0492671 |
| Reference:
|
[7] J. L. MASSERA J. J. SCHÄFFER: Linear differential equations and functional analysis.Ann. Math. 67 (1958), 517-573. MR 0096985 |
| Reference:
|
[8] J. L. MASSERA J. J. SCHÄFFER: Linear differential equations and functional spaces.Academic Press, New York 1966. MR 0212324 |
| Reference:
|
[9] B. RZEPECKI: Remarks on Schauder's fixed point principle and its applications.Bull. Acad. Polon. Sci., Sér. Math, 27 (1979), 473-480. Zbl 0435.47057, MR 0560183 |
| Reference:
|
[10] B. N. SADOVSKII: Limit compact and condensing operators.Russian Math. Surveys 27 (1972), 86-144. MR 0428132 |
| Reference:
|
[11] 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:
|
[12] S. SZUFLA: On the boundedness of solutions of non-linear differential equations in Banach spaces.Comment. Math, 21 (1979), 381-387. Zbl 0432.34040, MR 0577527 |
| . |
