On the equation $x' = f(t, x)$ in Banach spaces
Banaś, Józef ; Hajnosz, Andrzej ; Wędrychowicz, Stanisław
Commentationes Mathematicae Universitatis Carolinae, Tome 023 (1982), p. 233-247 / Harvested from Czech Digital Mathematics Library
Publié le : 1982-01-01
Classification:  34G20,  47H09
@article{106148,
     author = {J\'ozef Bana\'s and Andrzej Hajnosz and Stanis\l aw W\k edrychowicz},
     title = {On the equation $x' = f(t, x)$ in Banach spaces},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {023},
     year = {1982},
     pages = {233-247},
     zbl = {0502.34050},
     mrnumber = {664970},
     language = {en},
     url = {http://dml.mathdoc.fr/item/106148}
}
Banaś, Józef; Hajnosz, Andrzej; Wędrychowicz, Stanisław. On the equation $x' = f(t, x)$ in Banach spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 023 (1982) pp. 233-247. http://gdmltest.u-ga.fr/item/106148/

A. Ambrosetti Un teorema di esistenza per le equazioni differenziali negli spazi di Banach, Rend. Sem. Mat. Univ. Padova 39 (1967), 354-360. (1967) | MR 0222426 | Zbl 0174.46001

J. Banaś On measures of noncompactness in Banach spaces, Comment. Math. Univ. Carolinae 21 (1980), 131-143. (1980) | MR 0566245

J. Banaś K. Goebel Measures of noncompactness in Banach spaces, Lecture Notes in Pure and Applied Mathematics, Marcel Dekker, Inc., Vol. 60 (1980), New York and Basel. (1980) | MR 0591679

A. Cellina On the local existence of solutions of ordinary differential equations, Bull. Acad. Polon. Sci., Sér. Sci. Math. Astronom. Phys. 20 (1972), 293-296. (1972) | MR 0315237 | Zbl 0255.34053

J. Daneš On densifying and related mappings and their applications in nonlinear functional analysis, Theory of Nonlinear Operators, Akademie-Verlag, Berlin 1974, 15-56. (1974) | MR 0361946

G. Darbo Punti uniti in transformazioni a condominino non compatto, Rend. Sem. Math. Univ. Padova 24 (1955), 84-92. (1955) | MR 0070164

K. Deimling Ordinary differential equations in Banach spaces, Lecture Notes in Mathematics 596, Springer Verlag 1977. (1977) | MR 0463601 | Zbl 0361.34050

K. Goebel W. Rzymowskt An existence theorem for the equation $x = f(t,x)$ in Banach space, Bull. Acad. Polon. Sci., Sér. Sci. Math. Astronom. Phys. 18 (1970), 367-370. (1970) | MR 0269957

K. Kuratowski Sur les espaces complets, Fund. Math. 15 (1930), 301-309. (1930)

T. Roger On Nagumo's condition, Canad. Math. Bull. 15 (1972), 609-611. (1972)

B. Rzepecki Remarks on Schauder's Fixed point principle and its applications, Bull. Acad. Polon. Sci., Sér. Sci. Math. 27 (1979), 473-480. (1979) | MR 0560183 | Zbl 0435.47057

B. N. Sadovski Limit compact and condensing operators, Russian Math. Surveys 27 (1972), 86-144. (1972) | MR 0428132

S. Szufla Some remarks on ordinary differential equations in Banach spaces, Bull. Acad. Polon. Sci., Sér. Sci. Math. Astronom. Phys. 16 (1968), 795-800. (1968) | MR 0239238 | Zbl 0177.18902

S. Szufla Measure of noncompactness and ordinary differential equations in Banach spaces, ibidem, 19 (1971), 831-835. (1971) | MR 0303043

S. Szufla On the existence of solutions of ordinary differential equations in Banach spaces, Boll. Un. Mat. Ital. 5, 15-A (1978), 535-544. (1978) | MR 0521098 | Zbl 0402.34002