Geodesic
A multiparametric family of solutions to a~singular Volterra integral equation in a~Banach space
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2011), pp. 59-71

Voir la notice de l'article provenant de la source Math-Net.Ru

We construct a multiparametric set of solutions to a singular Volterra integral equation of the first kind with a sufficiently smooth kernel in the space of integrable functions whose values belong to a Banach space.
Keywords: integral equation, Banach space, operator pencil, spectrum. 
@article{IVM_2011_1_a5,
     author = {I. V. Sapronov},
     title = {A multiparametric family of solutions to a~singular {Volterra} integral equation in {a~Banach} space},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {59--71},
     publisher = {mathdoc},
     number = {1},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2011_1_a5/}
}
TY  - JOUR
AU  - I. V. Sapronov
TI  - A multiparametric family of solutions to a~singular Volterra integral equation in a~Banach space
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2011
SP  - 59
EP  - 71
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2011_1_a5/
LA  - ru
ID  - IVM_2011_1_a5
ER  - 
%0 Journal Article
%A I. V. Sapronov
%T A multiparametric family of solutions to a~singular Volterra integral equation in a~Banach space
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2011
%P 59-71
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2011_1_a5/
%G ru
%F IVM_2011_1_a5
I. V. Sapronov. A multiparametric family of solutions to a~singular Volterra integral equation in a~Banach space. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2011), pp. 59-71. http://geodesic.mathdoc.fr/item/IVM_2011_1_a5/