Geodesic
Nonexplicit evolution Volterra integral equation of the first kind with nonlinear integral delay
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2009), pp. 38-44

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

We prove a theorem of existence, uniqueness and stability of solution of the implicit evolution Volterra integral equation with respect to the initial value condition on the given finite segment. Here we use the method of successive approximation in combination with the method of compressing mapping.
Mots-clés : implicit Volterra integral equation
Keywords: existence and uniqueness of solutions. 
@article{VSGTU_2009_2_a4,
     author = {T. K. Yuldashev},
     title = {Nonexplicit evolution {Volterra} integral equation of the first kind with nonlinear integral delay},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {38--44},
     publisher = {mathdoc},
     number = {2},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2009_2_a4/}
}
TY  - JOUR
AU  - T. K. Yuldashev
TI  - Nonexplicit evolution Volterra integral equation of the first kind with nonlinear integral delay
JO  - Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
PY  - 2009
SP  - 38
EP  - 44
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VSGTU_2009_2_a4/
LA  - ru
ID  - VSGTU_2009_2_a4
ER  - 
%0 Journal Article
%A T. K. Yuldashev
%T Nonexplicit evolution Volterra integral equation of the first kind with nonlinear integral delay
%J Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
%D 2009
%P 38-44
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VSGTU_2009_2_a4/
%G ru
%F VSGTU_2009_2_a4
T. K. Yuldashev. Nonexplicit evolution Volterra integral equation of the first kind with nonlinear integral delay. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2009), pp. 38-44. http://geodesic.mathdoc.fr/item/VSGTU_2009_2_a4/