On the existence of weak solutions of integral equations in Banach spaces
Commentationes Mathematicae Universitatis Carolinae (1994)
- Volume: 35, Issue: 1, page 35-41
- ISSN: 0010-2628
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topBugajewski, Dariusz. "On the existence of weak solutions of integral equations in Banach spaces." Commentationes Mathematicae Universitatis Carolinae 35.1 (1994): 35-41. <http://eudml.org/doc/247584>.
@article{Bugajewski1994,
abstract = {In this paper we investigate weakly continuous solutions of some integral equations in Banach spaces. Moreover, we prove a fixed point theorem which is very useful in our considerations.},
author = {Bugajewski, Dariusz},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {fixed point; Hammerstein integral equation; Volterra integral equation; measure of weak noncompactness; weak continuity; weak continuity; weakly continuous solutions; Hammerstein integral equation; weak compactness; Volterra integral equation; measure of weak non-compactness; Banach space},
language = {eng},
number = {1},
pages = {35-41},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the existence of weak solutions of integral equations in Banach spaces},
url = {http://eudml.org/doc/247584},
volume = {35},
year = {1994},
}
TY - JOUR
AU - Bugajewski, Dariusz
TI - On the existence of weak solutions of integral equations in Banach spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1994
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 35
IS - 1
SP - 35
EP - 41
AB - In this paper we investigate weakly continuous solutions of some integral equations in Banach spaces. Moreover, we prove a fixed point theorem which is very useful in our considerations.
LA - eng
KW - fixed point; Hammerstein integral equation; Volterra integral equation; measure of weak noncompactness; weak continuity; weak continuity; weakly continuous solutions; Hammerstein integral equation; weak compactness; Volterra integral equation; measure of weak non-compactness; Banach space
UR - http://eudml.org/doc/247584
ER -
References
top- Ambrosetti A., Un teorema di esistenza per le equazioni differenziali negli spazi di Banach, Rend. Sem. Mat. Univ. Padova 39 (1967), 349-360. (1967) MR0222426
- Cramer E., Lakshmikantham V., Mitchell A.R., On the existence of weak solutions of differential equations in nonreflexive Banach spaces, Nonlinear Analysis 2 (1978), 169-177. (1978) Zbl0379.34041MR0512280
- Daneš J., Some fixed point theorems, Comment. Math. Univ. Carolinae 9 (1968), 223-235. (1968) MR0235435
- De Blasi F.S., On a property of the unit sphere in a Banach space, Bull. Math. Soc. Sci. Math. R.S. Roumanie 21 (1977), 259-262. (1977) Zbl0365.46015MR0482402
- Deimling K., Ordinary differential equations in Banach spaces, Lecture Notes Math., Berlin-Heidelberg-New York, 1977. Zbl0418.34060MR0463601
- Kuratowski K., Topology, vol. II, New York-London-Warszawa, 1968. Zbl0849.01044MR0259835
- Szufla S., On the equation in locally convex spaces, Math. Nachr. 118 (1984), 179-185. (1984) Zbl0569.34052MR0773619
- Szufla S., On the application of measure of noncompactness to existence theorems, Rend. Sem. Mat. Univ. Padova 75 (1986), 1-14. (1986) Zbl0589.45007MR0847653
Citations in EuDML Documents
top- Dariusz Bugajewski, On the Volterra integral equation and axiomatic measures of weak noncompactness
- Dariusz Bugajewski, On fixed point theorems for absolute retracts
- Afif Ben Amar, Some fixed point theorems and existence of weak solutions of Volterra integral equation under Henstock-Kurzweil-Pettis integrability
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