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de Blasi, F.S., Iervolino, F., “Equazioni differentiali con soluzioni a valore compatto convesso.” Boll. Unione Mat. Ital. 2 (4-5). 491-501. 1969.

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Article

Existence and Uniqueness Theorem for Set-Valued Volterra Integral Equations

1Department of Applied Mathematics, Odessa State Academy of Civil Engineering and Architecture, Odessa, Ukraine

2Department of Optimal Control and Economic Cybernetics, Odessa National University named after I.I. Mechnikov, Odessa, Ukraine


American Journal of Applied Mathematics and Statistics. 2013, Vol. 1 No. 3, 41-45
DOI: 10.12691/ajams-1-3-2
Copyright © 2013 Science and Education Publishing

Cite this paper:
Andrej V. Plotnikov, Natalia V. Skripnik. Existence and Uniqueness Theorem for Set-Valued Volterra Integral Equations. American Journal of Applied Mathematics and Statistics. 2013; 1(3):41-45. doi: 10.12691/ajams-1-3-2.

Correspondence to: Andrej V. Plotnikov, Department of Applied Mathematics, Odessa State Academy of Civil Engineering and Architecture, Odessa, Ukraine. Email: a-plotnikov@ukr.net

Abstract

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.

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