Work

Abstract Boundary Delay Systems and Application to Network Flow

Year: 2025

Type: conference-abstract

Abstract: ABSTRACT This paper investigates the well‐posedness and positivity of solutions to a class of delayed transport equations on a network. The material flow is delayed at the vertices and along the edges. The problem is reformulated as an abstract boundary delay equation, and well‐posedness is proved by using the Staffans–Weiss theory. We also establish spectral theory for the associated delay operators and provide conditions for the positivity of the semigroup.

Source: Mathematical Methods in the Applied Sciences

DOI: 10.1002/mma.70139

Authors: András Bátkai, Marjeta Kramar Fijavž, Abdelaziz Rhandi

Institutions: Pädagogische Hochschule Vorarlberg, University of Ljubljana, Institute of Mathematics, Physics, and Mechanics, University of Salerno

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $5,000

Funders: European Cooperation in Science and Technology, Javna Agencija za Raziskovalno Dejavnost RS

OpenAlex ID: W4415462255

Cites: 15

Cited by: 1

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