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

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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 
@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 },
     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/}
}
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
PB  - mathdoc
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
%I mathdoc
%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

Cité par Sources :