# On the existence of bounded solutions of differential equations in Banach spaces

Commentationes Mathematicae Universitatis Carolinae (1985)

- Volume: 026, Issue: 3, page 611-617
- ISSN: 0010-2628

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topDawidowski, Marian. "On the existence of bounded solutions of differential equations in Banach spaces." Commentationes Mathematicae Universitatis Carolinae 026.3 (1985): 611-617. <http://eudml.org/doc/17409>.

@article{Dawidowski1985,

author = {Dawidowski, Marian},

journal = {Commentationes Mathematicae Universitatis Carolinae},

keywords = {first order differential equation; bounded solutions; Banach-space; axiomatic measure of noncompactness; finite dimensional vector differential equations},

language = {eng},

number = {3},

pages = {611-617},

publisher = {Charles University in Prague, Faculty of Mathematics and Physics},

title = {On the existence of bounded solutions of differential equations in Banach spaces},

url = {http://eudml.org/doc/17409},

volume = {026},

year = {1985},

}

TY - JOUR

AU - Dawidowski, Marian

TI - On the existence of bounded solutions of differential equations in Banach spaces

JO - Commentationes Mathematicae Universitatis Carolinae

PY - 1985

PB - Charles University in Prague, Faculty of Mathematics and Physics

VL - 026

IS - 3

SP - 611

EP - 617

LA - eng

KW - first order differential equation; bounded solutions; Banach-space; axiomatic measure of noncompactness; finite dimensional vector differential equations

UR - http://eudml.org/doc/17409

ER -

## References

top- J. BANAŚ, On measures of noncompactness in Banach spaces, Comment. Math. Univ. Carolinae 21 (1980), 131-143. (1980) MR0566245
- J. BANAŚ K. GOEBEL, Measures of noncompactness in Banach spaces, Lect. Notes Pure Applied Mathematics, Marcel Dekker, vol. 60, New York and Basel, 1980. (1980) MR0591679
- J. DANEŠ, On densifying and related mappings and their application in nonlinear functional analysis, Theory of nonlinear operators, Akademie-Verlag, Berlin 1974, pp. 15-56. (1974) MR0361946
- I. KUBIACZYK, On the existence of solutions of differential equation in Banach space, (to appear). MR0849409
- B. RZEPBCKI, Remarks on Schauder's fixed point principle and its applications, Bull. Acad. Polon. Sci. Ser. Math. 27 (1979), 473-480. (1979) MR0560183
- B. N. SADOVSKIĬ, Predel'no kompaktnye i uplotnrjajuščije operatory, Uspehi Mat. Nauk XVII 1 (163) (1972), 81-146 (in Russian). (1972) MR0428132
- A. STOKES, The applications of a fixed-point theorem to a variety of nonlinear stability problems, Proc. Nat. Acad. Sci. USA 45 (1959), 231-235. (1959) MR0104006

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