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MR ZblKeywords: measure of weak noncompactness; Volterra integral equation; nonlinear Volterra integral equation; Kneser property
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
@article{10_21136_MB_2001_133913,
author = {Bugajewski, Dariusz},
title = {On the {Volterra} integral equation and axiomatic measures of weak noncompactness},
journal = {Mathematica Bohemica},
pages = {183--190},
year = {2001},
volume = {126},
number = {1},
doi = {10.21136/MB.2001.133913},
mrnumber = {1826481},
zbl = {0982.45002},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2001.133913/}
}
TY - JOUR AU - Bugajewski, Dariusz TI - On the Volterra integral equation and axiomatic measures of weak noncompactness JO - Mathematica Bohemica PY - 2001 SP - 183 EP - 190 VL - 126 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.21136/MB.2001.133913/ DO - 10.21136/MB.2001.133913 LA - en ID - 10_21136_MB_2001_133913 ER -
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[1] A. Ambrosetti: Un teorema di esistenza per le equazioni differenziali negli spazi di Banach. Rend. Sem. Mat. Univ. Padova 39 (1967), 349–360. | MR
[2] J. Banaś, J. Rivero: On measures of weak noncompactness. Ann. Mat. Pura Appl. 151 (1988), 213–224. | DOI | MR
[3] D. Bugajewski: On the existence of weak solutions of integral equations in Banach spaces. Comment. Math. Univ. Carolin. 35 (1994), 35–41. | MR
[4] D. Bugajewski, S. Szufla: Kneser’s theorem for weak solutions of the Darboux problem in Banach spaces. Nonlinear Anal. 20 (1993), 169–173. | DOI | MR
[5] E. Cramer, V. Lakshmikantham, A. R. Mitchell: On the existence of weak solutions of differential equations in nonreflexive Banach spaces. Nonlinear Anal. 2 (1978), 169–177. | DOI | MR
[6] F. S. De Blasi: On a property of the unit sphere in Banach spaces. Bull. Math. Soc. Sci. Math. Roum. 21 (1977), 259–262. | MR
[7] G. Emanuelle: Measures of weak noncompactness and fixed point theorems. Bull. Math. Soc. Sci. Math. Roum. 25 (1981), 353–358.
[8] J. L. Kelley, I. Namioka: Linear Topological Spaces. Van Nostrand, Princeton, 1963. | MR
[9] M. A. Krasnosel’skij, S. G. Krein: To the theory of ordinary differential equations in Banach spaces. Trudy Sem. Funk. Anal. Voronezh. Univ. 2 (1956), 3–23. (Russian) | MR
[10] D. O’Regan: Integral equations in reflexive Banach spaces and weak topologies. Proc. Amer. Math. Soc. 124 (1996), 607–614. | DOI | MR
[11] A. Szép: Existence theorem for weak solutions of ordinary differential equations in reflexive Banach spaces. Studia Sci. Math. Hungarica 6 (1971), 197–203. | MR
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