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Matematicheskie Zametki, 2014, Volume 96, Issue 3, Pages 333–342
DOI: https://doi.org/10.4213/mzm10515 (Mi mzm10515) 		 
On the Uniform Convergence of Solutions of Volterra-Type Controlled Systems of Integral Equations Linear in the Control

Yu. I. Beloglazov, A. V. Dmitruk

M. V. Lomonosov Moscow State University
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DOI: https://doi.org/10.4213/mzm10515
Abstract: For systems of integral equations with properties cited in the title, we propose a constraint on the convergence of the controls guaranteeing the uniform convergence of the solutions of such systems. This requirement is weaker than weak convergence. Relevant examples are given.
Keywords: Volterra-type controlled system, uniform convergence, weak convergence, Lipschitz operator, modulus of continuity.
Received: 21.09.2013
English version:
Mathematical Notes, 2014, Volume 96, Issue 3, Pages 317–325
DOI: https://doi.org/10.1134/S000143461409003X
Bibliographic databases:
Document Type: Article
UDC: 517.968.22
Language: Russian
Citation: Yu. I. Beloglazov, A. V. Dmitruk, “On the Uniform Convergence of Solutions of Volterra-Type Controlled Systems of Integral Equations Linear in the Control”, Mat. Zametki, 96:3 (2014), 333–342; Math. Notes, 96:3 (2014), 317–325
Citation in format AMSBIB
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