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Mikhail Kamenskii, Valeri Obukhovskii, Garik Petrosyan, Paul Raynaud de Fitte, Ching-Feng Wen, On a feedback control system governed by a differential equation and a sweeping process in Hilbert spaces

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DOI: 10.23952/jnva.9.2025.3.06

Volume 9, Issue 3, 1 June 2025, Pages 413-422

 

Abstract. We consider a system governed by a differential equation and a sweeping process in Hilbert spaces. Using the concept of a generalized metric space and the contraction map principle due to Perov, we prove the existence and uniqueness of an almost periodic solution for this system.

 

How to Cite this Article:
M. Kamenskii, V. Obukhovskii, G. Petrosyan, P. Raynaud de Fitte, C.W. Wen, On a feedback control system governed by a differential equation and a sweeping process in Hilbert spaces, J. Nonlinear Var. Anal. 9 (2025), 413-422.