On the Volterra integral equation and axiomatic measures of weak noncompactness
Mathematica Bohemica, Tome 126 (2001) no. 1, pp. 183-190
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
We prove that a set of weak solutions of the nonlinear Volterra integral equation has the Kneser property. The main condition in our result is formulated in terms of axiomatic measures of weak noncompactness.
DOI :
10.21136/MB.2001.133913
Classification :
45D05, 45G10, 47H09
Keywords: measure of weak noncompactness; Volterra integral equation; nonlinear Volterra integral equation; Kneser property
Keywords: measure of weak noncompactness; Volterra integral equation; nonlinear Volterra integral equation; Kneser property
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author = {Bugajewski, Dariusz},
title = {On the {Volterra} integral equation and axiomatic measures of weak noncompactness},
journal = {Mathematica Bohemica},
pages = {183--190},
publisher = {mathdoc},
volume = {126},
number = {1},
year = {2001},
doi = {10.21136/MB.2001.133913},
mrnumber = {1826481},
zbl = {0982.45002},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2001.133913/}
}
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Bugajewski, Dariusz. On the Volterra integral equation and axiomatic measures of weak noncompactness. Mathematica Bohemica, Tome 126 (2001) no. 1, pp. 183-190. doi: 10.21136/MB.2001.133913
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