An application of a fixed point principle of Sadovskij to differential equations on the real line
Commentationes Mathematicae Universitatis Carolinae (1985)
- Volume: 026, Issue: 4, page 713-717
- ISSN: 0010-2628
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topRzepecki, Bogdan. "An application of a fixed point principle of Sadovskij to differential equations on the real line." Commentationes Mathematicae Universitatis Carolinae 026.4 (1985): 713-717. <http://eudml.org/doc/17420>.
@article{Rzepecki1985,
author = {Rzepecki, Bogdan},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Banach spaces; fixed point theorem of Sadovskij; measure of noncompactness},
language = {eng},
number = {4},
pages = {713-717},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {An application of a fixed point principle of Sadovskij to differential equations on the real line},
url = {http://eudml.org/doc/17420},
volume = {026},
year = {1985},
}
TY - JOUR
AU - Rzepecki, Bogdan
TI - An application of a fixed point principle of Sadovskij to differential equations on the real line
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1985
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 026
IS - 4
SP - 713
EP - 717
LA - eng
KW - Banach spaces; fixed point theorem of Sadovskij; measure of noncompactness
UR - http://eudml.org/doc/17420
ER -
References
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- J. DANEŠ, On densifying and related mappings and their application in nonlinear functional analysis, Theory of Nonlinear Operators, Akademie-Verlag, Bwelin 1974, 15-46. (1974) MR0361946
- K. DEIMLING, Ordinary Differential Equations in Banach Spaces, Lect. Notes in Math. 596, Springer-Verlag, Berlin 1977. (1977) Zbl0361.34050MR0463601
- R. H. MARTIN, Jr., Non linear Operators and Differential Equations in Banach Spaces, John Wiley and Sons, New York, 1976. (1976) MR0492671
- B. RZEPECKI, An existence theorem for bounded solutions of differential equations in Banach spaces, Rend. Sem. Mat. Univ. Padova 73 (1984). (1984) MR0799899
- B. N. SADOVSKII, Limit compact and condensing operators, Russian Math. Surveys 27 (1972), 86-144. (1972) MR0428132
- A. STOKES, The application of a fixed-point theorem to a variety of nonlinear stability problems, Proc. Nat. Acad. Sci. U.S.A. 45 (1959), 231-235. (1959) MR0104006
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