eng
Science and Education Publishing
American Journal of Applied Mathematics and Statistics
2328-7292
2013-05-12
1
1
41
45
10.12691/ajams-1-3-2
AJAMS2013132
article
Existence and Uniqueness Theorem for Set-Valued Volterra Integral Equations
Andrej V. Plotnikov
a-plotnikov@ukr.net
1
2
Natalia V. Skripnik
2
Department of Applied Mathematics, Odessa State Academy of Civil Engineering and Architecture, Odessa, Ukraine
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.
http://pubs.sciepub.com/ajams/1/3/2/ajams-1-3-2.pdf
set-valued integral equation
existence
uniqueness
set-valued differential equation