Control and perturbation in Sturm — Liouville’s problem with discontinuous nonlinearity

We consider the Sturm — Liouville problem with discontinuous nonlinearity, control and perturbation. Previously obtained results for equations with a spectral parameter and a discontinuous operator are applied to this problem. By the variational method, we have established theorems on the existence...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes 2023, Vol.19 (2), p.275-282
Hauptverfasser: Baskov, Oleg V., Potapov, Dmitriy K.
Format: Artikel
Sprache:eng ; rus
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We consider the Sturm — Liouville problem with discontinuous nonlinearity, control and perturbation. Previously obtained results for equations with a spectral parameter and a discontinuous operator are applied to this problem. By the variational method, we have established theorems on the existence of solutions to the Sturm — Liouville problem with discontinuous nonlinearity and to the optimal control problem, as well as on topological properties of the set of the acceptable “control — state” pairs. A one-dimensional analog of the Gol’dshtik model for separated flows of an incompressible fluid with control and perturbation is given as an application.
ISSN:1811-9905
2542-2251
DOI:10.21638/11701/spbu10.2023.212