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

Marian Dawidowski

Commentationes Mathematicae Universitatis Carolinae (1985)

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

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Dawidowski, 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

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  1. J. BANAŚ, On measures of noncompactness in Banach spaces, Comment. Math. Univ. Carolinae 21 (1980), 131-143. (1980) MR0566245
  2. 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
  3. 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
  4. I. KUBIACZYK, On the existence of solutions of differential equation in Banach space, (to appear). MR0849409
  5. B. RZEPBCKI, Remarks on Schauder's fixed point principle and its applications, Bull. Acad. Polon. Sci. Ser. Math. 27 (1979), 473-480. (1979) MR0560183
  6. B. N. SADOVSKIĬ, Predel'no kompaktnye i uplotnrjajuščije operatory, Uspehi Mat. Nauk XVII 1 (163) (1972), 81-146 (in Russian). (1972) MR0428132
  7. 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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