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arXiv · 2309.00186

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

Maria Filipkovska
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Abstract

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

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Maria Filipkovska. 2023-09-01. Qualitative analysis of nonregular differential-algebraic equations and the dynamics of gas networks. https://doi.org/10.15407/mag19.04.719

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