A mutual control problem for semilinear system via fixed point approach

Fuente: arXiv
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Autori principali: Precup, Radu, Stan, Andrei
Natura: Preprint
Pubblicazione: 2024
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author Precup, Radu
Stan, Andrei
author_facet Precup, Radu
Stan, Andrei
contents In this paper, we introduce and discuss the concept of a mutual control problem. Our analysis relies on a vector fixed-point approach based on the fixed-point theorems of Perov, Schauder, Leray-Schauder, and Avramescu. Additionally, for a related semi-observability problem, we employ a novel technique utilizing Bielecki equivalent norms.
format Preprint
id arxiv_https___arxiv_org_abs_2407_21131
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A mutual control problem for semilinear system via fixed point approach
Precup, Radu
Stan, Andrei
Analysis of PDEs
In this paper, we introduce and discuss the concept of a mutual control problem. Our analysis relies on a vector fixed-point approach based on the fixed-point theorems of Perov, Schauder, Leray-Schauder, and Avramescu. Additionally, for a related semi-observability problem, we employ a novel technique utilizing Bielecki equivalent norms.
title A mutual control problem for semilinear system via fixed point approach
topic Analysis of PDEs
url https://arxiv.org/abs/2407.21131