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math.SP2022
On the Spectral Theory of Linear Differential-Algebraic Equations with Periodic Coefficients
Bader Alshammari, Aaron Welters
In this paper, we consider the spectral theory of linear differential-algebraic equations (DAEs) for periodic DAEs in canonical form, i.e., \begin{equation*} J \frac{df}{dt}+Hf=λWf…
math-ph2022★ 4 cited
Effective operators and their variational principles for discrete electrical network problems
Kenneth Beard, Anthony Stefan, Robert Viator +1
Using a Hilbert space framework inspired by the methods of orthogonal projections and Hodge decompositions, we study a general class of problems (called Z-problems) that arise in e…