English

A mutual control problem for semilinear system via fixed point approach

Analysis of PDEs 2024-09-17 v2

Abstract

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.

Keywords

Cite

@article{arxiv.2407.21131,
  title  = {A mutual control problem for semilinear system via fixed point approach},
  author = {Radu Precup and Andrei Stan},
  journal= {arXiv preprint arXiv:2407.21131},
  year   = {2024}
}
R2 v1 2026-06-28T17:58:38.397Z