4 papers
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…
Criterion of the global solvability of regular and singular differential-algebraic equations
Maria Filipkovska
For regular and nonregular (singular) semilinear differential-algebraic equations (DAEs), we prove theorems on the existence and uniqueness of global solutions and on the blow-up o…
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…
Lagrange stability of semilinear differential-algebraic equations and application to nonlinear electrical circuits
Maria Filipkovska
We study a semilinear differential-algebraic equation (DAE) with the focus on the Lagrange stability (instability). The conditions for the existence and uniqueness of global soluti…