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25 January 2025
 
  » arxiv » 2309.00186

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Qualitative analysis of nonregular differential-algebraic equations and the dynamics of gas networks
Maria Filipkovska ;
Date 1 Sep 2023
AbstractThe 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.
Source arXiv, 2309.00186
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