An existence theorem for bounded solutions of differential equations in Banach spaces
Rendiconti del Seminario Matematico della Università di Padova, Tome 73 (1985), pp. 89-94 
@article{RSMUP_1985__73__89_0,
     author = {Rzepecki, Bogdan},
     title = {An existence theorem for bounded solutions of differential equations in {Banach} spaces},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {89--94},
     year = {1985},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {73},
     mrnumber = {799899},
     zbl = {0586.34052},
     language = {en},
     url = {https://www.numdam.org/item/RSMUP_1985__73__89_0/}
}
TY  - JOUR
AU  - Rzepecki, Bogdan
TI  - An existence theorem for bounded solutions of differential equations in Banach spaces
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 1985
SP  - 89
EP  - 94
VL  - 73
PB  - Seminario Matematico of the University of Padua
UR  - https://www.numdam.org/item/RSMUP_1985__73__89_0/
LA  - en
ID  - RSMUP_1985__73__89_0
ER  - 
%0 Journal Article
%A Rzepecki, Bogdan
%T An existence theorem for bounded solutions of differential equations in Banach spaces
%J Rendiconti del Seminario Matematico della Università di Padova
%D 1985
%P 89-94
%V 73
%I Seminario Matematico of the University of Padua
%U https://www.numdam.org/item/RSMUP_1985__73__89_0/
%G en
%F RSMUP_1985__73__89_0
Rzepecki, Bogdan. An existence theorem for bounded solutions of differential equations in Banach spaces. Rendiconti del Seminario Matematico della Università di Padova, Tome 73 (1985), pp. 89-94. https://www.numdam.org/item/RSMUP_1985__73__89_0/

[1] A. Ambrosetti, Un teorema di esistenza per le equazioni differenziali negli spazi di Banach, Rend. Sem. Mat. Univ. Padova, 39 (1967), pp. 349-360. | Zbl | MR | Numdam

[2] G. Darbo, Punti uniti in trasformazioni a codominio non compatto, Rend. Sem. Mat. Univ. Padova, 24 (1955), pp. 84-92. | Zbl | MR | Numdam

[3] K. Deimling, Ordinary Differential Equations in Banach Spaces, Lect. Notes in Math. 596, Springer-Verlag, Berlin, 1977. | Zbl | MR

[4] M. Furi - A. Vignoli, On α-nonexpansive mappings and fixed points, Rend. Atti Acc. Naz. Lincei, 18 (1977), pp. 195-198. | Zbl

[5] R.H. Martinjr., Nonlinear Operators and Differential Equations in Banach Spaces, John Wiley and Sons, New York, 1976. | Zbl | MR

[6] B. Rzepecki, Remarks on Schauder's fixed point principle and its applications, Bull. Acad. Polon. Sci., Sér. Math., 27 (1979), pp. 473-480. | Zbl | MR

[7] A. Stokes, The application of a fixed-point theorem to a variety of nonlinear stabitity problems, Proc. Nat. Acad. Sci. USA, 45 (1959), pp. 231-235. | Zbl | MR

[8] S. Szufla, On the existence of solutions of differential equations in Banach spaces, Bull. Acad. Polon. Sci., Sér. Math., 30 (1982), pp. 507-515. | Zbl | MR