Qualitative analysis of nonregular differential-algebraic equations and the dynamics of gas networks

Filipkovska M (2023)

Publication Language: English

Publication Status: Accepted

Publication Type: Journal article, Original article

Future Publication Type: Journal article

Publication year: 2023

Journal

Journal of Mathematical Physics Analysis Geometry National Academy of Sciences of Ukraine

Book Volume: 19

Pages Range: 719-765

Journal Issue: 4

DOI: 10.15407/mag19.04.719

Open Access Link: https://doi.org/10.15407/mag19.04.719

Abstract

Conditions for the existence, uniqueness and boundedness of global solutions, as well as ultimate boundedness of solutions, and conditions for the blow-up of solutions of nonregular semilinear differential-algebraic equations have been obtained. An example demonstrating the application of the obtained results has been considered. Isothermal models of gas networks have been proposed as applications.

Authors with CRIS profile

Maria Filipkovska Lehrstuhl für Dynamics, Control, Machine Learning and Numerics (Alexander von Humboldt-Professur)

How to cite

APA:

Filipkovska, M. (2023). Qualitative analysis of nonregular differential-algebraic equations and the dynamics of gas networks. Journal of Mathematical Physics Analysis Geometry, 19(4), 719-765. https://dx.doi.org/10.15407/mag19.04.719

MLA:

Filipkovska, Maria. "Qualitative analysis of nonregular differential-algebraic equations and the dynamics of gas networks." Journal of Mathematical Physics Analysis Geometry 19.4 (2023): 719-765.

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