Geodesic
General functional-integral Volterra equation
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2007), pp. 37-40.

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

We research the one-valued solvability of the integral Volterra equation of general type with given initial condition. The theorem on the existence and uniqueness of continuous solution, which satisfies the Lipschitz condition on the considered interval is proved. The method of successive approximations and the method of contracting mappings are used. 
@article{VSGTU_2007_2_a5,
     author = {T. K. Yuldashev and Zh. A. Artykova},
     title = {General functional-integral {Volterra} equation},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {37--40},
     publisher = {mathdoc},
     number = {2},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2007_2_a5/}
}
TY  - JOUR
AU  - T. K. Yuldashev
AU  - Zh. A. Artykova
TI  - General functional-integral Volterra equation
JO  - Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
PY  - 2007
SP  - 37
EP  - 40
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VSGTU_2007_2_a5/
LA  - ru
ID  - VSGTU_2007_2_a5
ER  - 
%0 Journal Article
%A T. K. Yuldashev
%A Zh. A. Artykova
%T General functional-integral Volterra equation
%J Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
%D 2007
%P 37-40
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VSGTU_2007_2_a5/
%G ru
%F VSGTU_2007_2_a5
T. K. Yuldashev; Zh. A. Artykova. General functional-integral Volterra equation. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2007), pp. 37-40. http://geodesic.mathdoc.fr/item/VSGTU_2007_2_a5/

[1] Yuldashev T. K., Artykova Zh. A., “Integralnoe uravnenie Volterra pervogo roda s nelineinoi pravoi chastyu”, Slozhni sistemi i protsesi, 2005, no. 1(7), 3–5 | MR

[2] Yuldashev T. K., Artykova Zh. A., “Sluchainye integralnye uravneniya Volterra pervogo roda s nelineinoi pravoi chastyu”, Predelnye teoremy teorii veroyatnostei i ikh prilozheniya, Materialy V-i mezhdunarod. Fergan. konf. (Fergana, 10–12 maya 2005 g.), IM AN RUzb, Tashkent, 2005, 204–206

[3] Yuldashev T. K., Artykova Zh. A., “Integralnye uravnenie Volterra pervogo roda s nelineinoi pravoi chastyu i slozhnym otkloneniem”, Geometriya v Odesse-2005. Differents. geometriya i ee prilozheniya, Tez. mezhdunarod. seminara (23–29 maya 2005 g.), Odessa, 2005, 112–113