8 citations · 10 across the 6 of their papers we have counts for
7 papers
Distance-Residual Physics-Informed Neural Networks: A Deep Learning Framework for Differential and Partial Differential Inclusions
Maria Filipkovska, Juan José Mar\'ın, Isil Oner +2
We introduce Distance-Residual Physics-Informed Neural Networks (DR-PINNs), a physics-informed learning framework for approximating solutions of ordinary and partial differential i…
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…
Combined methods for solving time-varying semilinear differential-algebraic equations with the use of spectral projectors and applications
Maria Filipkovska
Two combined methods for computing solutions of time-varying semilinear differential-algebraic equations (descriptor systems) are obtained. When constructing the methods, time-vary…
Two combined methods for the global solution of implicit semilinear differential equations with the use of spectral projectors and Taylor expansions
M. S. Filipkovska
Two combined numerical methods for solving semilinear differential-algebraic equations (DAEs) are obtained and their convergence is proved. The comparative analysis of these method…
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…