@article{CMUC_1984_25_4_a4,
author = {Rzepecki, Bogdan},
title = {On bounded solutions of a linear differential equation with a nonlinear perturbation},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {635--645},
year = {1984},
volume = {25},
number = {4},
mrnumber = {782013},
zbl = {0558.34052},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1984_25_4_a4/}
}
TY - JOUR AU - Rzepecki, Bogdan TI - On bounded solutions of a linear differential equation with a nonlinear perturbation JO - Commentationes Mathematicae Universitatis Carolinae PY - 1984 SP - 635 EP - 645 VL - 25 IS - 4 UR - http://geodesic.mathdoc.fr/item/CMUC_1984_25_4_a4/ LA - en ID - CMUC_1984_25_4_a4 ER -
Rzepecki, Bogdan. On bounded solutions of a linear differential equation with a nonlinear perturbation. Commentationes Mathematicae Universitatis Carolinae, Tome 25 (1984) no. 4, pp. 635-645. http://geodesic.mathdoc.fr/item/CMUC_1984_25_4_a4/
[1] A. AMBROSETTI: Un teorema di esistenza per le equazioni differenziali negli spazi di Banach. Rend. Sem. Mat. Univ. Padova 39 (1967), 349-360. | MR | Zbl
[2] M. BOUDOURIDES: On bounded solutions of nonlinear ordinary differential equations. Comment. Math. Univ. Carolinae 22 (1981), 15-26. | MR | Zbl
[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
[4] K. DEIMLING: Ordinary differential equations in Banach spaces. Lect. Notes in Math. 596, Springer-Verlag, Berlin 1977. | MR | Zbl
[5] K. KURATOWSKI: Sur les espaces complete. Fund. Math. 15 (1930), 301-309.
[6] R. MARTIN: Nonlinear operators and differential equations in Banach spaces. Wiley Publ., New York 1976. | MR | Zbl
[7] J. L. MASSERA J. J. SCHÄFFER: Linear differential equations and functional analysis. Ann. Math. 67 (1958), 517-573. | MR
[8] J. L. MASSERA J. J. SCHÄFFER: Linear differential equations and functional spaces. Academic Press, New York 1966. | MR
[9] B. RZEPECKI: Remarks on Schauder's fixed point principle and its applications. Bull. Acad. Polon. Sci., Sér. Math, 27 (1979), 473-480. | MR | Zbl
[10] B. N. SADOVSKII: Limit compact and condensing operators. Russian Math. Surveys 27 (1972), 86-144. | MR
[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. | MR | Zbl
[12] S. SZUFLA: On the boundedness of solutions of non-linear differential equations in Banach spaces. Comment. Math, 21 (1979), 381-387. | MR | Zbl