Qualitative analysis of nonregular differential-algebraic equations and the dynamics of gas networks
arXiv:2309.00186 · doi:10.15407/mag19.04.719
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.