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 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