Geodesic
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 
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     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 },
     publisher = {mathdoc},
     volume = {_N_S_83},
     number = {97},
     year = {2008},
     doi = {10.2298/PIM0897057D},
     zbl = {1274.45005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM0897057D/}
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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. http://geodesic.mathdoc.fr/articles/10.2298/PIM0897057D/

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