On the Functional--integral Equation of Volterra Type With Weakly Singular Kernel
Publications de l'Institut Mathématique, _N_S_83 (2008) no. 97, p. 57
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We give sufficient conditions for the existence of $L^p-$solution
of a Volterra functional--integral equation in a Banach space. Our assumptions
and proofs are expressed in terms of measures of noncompactness.
DOI :
10.2298/PIM0897057D
Classification :
45N05
Keywords: Functional--integral equation, $L^p$-solutions, measure of noncompactness
Keywords: Functional--integral equation, $L^p$-solutions, measure of noncompactness
@article{10_2298_PIM0897057D,
author = {Aldona Dutkiewicz},
title = {On the {Functional--integral} {Equation} of {Volterra} {Type} {With} {Weakly} {Singular} {Kernel}},
journal = {Publications de l'Institut Math\'ematique},
pages = {57 },
year = {2008},
volume = {_N_S_83},
number = {97},
doi = {10.2298/PIM0897057D},
zbl = {1274.45005},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM0897057D/}
}
TY - JOUR AU - Aldona Dutkiewicz TI - On the Functional--integral Equation of Volterra Type With Weakly Singular Kernel JO - Publications de l'Institut Mathématique PY - 2008 SP - 57 VL - _N_S_83 IS - 97 UR - http://geodesic.mathdoc.fr/articles/10.2298/PIM0897057D/ DO - 10.2298/PIM0897057D LA - en ID - 10_2298_PIM0897057D ER -
%0 Journal Article %A Aldona Dutkiewicz %T On the Functional--integral Equation of Volterra Type With Weakly Singular Kernel %J Publications de l'Institut Mathématique %D 2008 %P 57 %V _N_S_83 %N 97 %U http://geodesic.mathdoc.fr/articles/10.2298/PIM0897057D/ %R 10.2298/PIM0897057D %G en %F 10_2298_PIM0897057D
Aldona Dutkiewicz. On the Functional--integral Equation of Volterra Type With Weakly Singular Kernel. Publications de l'Institut Mathématique, _N_S_83 (2008) no. 97, p. 57 . doi: 10.2298/PIM0897057D
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