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math.AP2025
Existence and qualitative behavior of solutions of abstract differential-algebraic equations
Maria Filipkovska
Abstract differential-algebraic equations (ADAEs) of a semilinear type are studied. Theorems on the existence and uniqueness of solutions and the maximal interval of existence, on…
math.AP2023
Qualitative analysis of nonregular differential-algebraic equations and the dynamics of gas networks
Maria Filipkovska
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 n…