Science and Education Publishing
American Journal of Applied Mathematics and Statistics
2328-7292
1
1
2013
05
12
Existence and Uniqueness Theorem for Set-Valued Volterra Integral Equations
41
45
EN
Andrej V.
Plotnikov
Department of Applied Mathematics, Odessa State Academy of Civil Engineering and Architecture, Odessa, Ukraine
Natalia V.
Skripnik
AJAMS2013132
10.12691/ajams-1-3-2
2013
04
28
2013
05
10
2013
05
12
The space of nonempty compact sets of is well-known to be a nonlinear space. This fact essentially complicates the research of set-valued differential and integral equations. In this article we consider set-valued Volterra integral equations and prove the existence and uniqueness theorem.