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.