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Qualitative analysis of nonregular differential-algebraic equations and the dynamics of gas networks
Preprint
31 August 2023
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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.