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19972026
most citedSpectral Theory for Systems of Ordinary Differential Equations with Distributional Coefficients

20 citations · 62 across the 21 of their papers we have counts for

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math.SP2026

Self-adjoint extensions of symmetric relations associated with systems of ordinary differential equations with distributional coefficients

Steven Redolfi, Rudi Weikard

We study the extension theory for the two-dimensional first-order system of differential equations on the real interval where is a constant, invertible,…

math.SP2023

The limit-point/limit-circle classification for ordinary differential equations with distributional coefficients

Varun Bhardwaj, Rudi Weikard

We investigate the limit-point/limit-circle classification for the differential equation where and and…

math.SP2023★ 5 cited

On Fourier expansions for systems of ordinary differential equations with distributional coefficients

Steven Redolfi, Rudi Weikard

We study the spectral theory for the first-order system of differential equations on the real interval where is a constant, invertible, skew-hermitian matri…

math.SP2023

On the spectral theory of systems of first order equations with periodic distributional coefficients

Kevin Campbell, Rudi Weikard

We establish a Floquet theorem for a first-order system of differential equations where is an -matrix whose entries are periodic distributions of order .…

math.SP2023★ 4 cited

Green's functions for first-order systems of ordinary differential equations without the unique continuation property

Steven Redolfi, Rudi Weikard

This paper is a contribution to the spectral theory associated with the differential equation on the real interval when is a constant, invertible skew-Hermi…

math.SP2015★ 1 cited

Donoghue-Type -Functions for Schrödinger Operators with Operator-Valued Potentials

Fritz Gesztesy, Sergey N. Naboko, Rudi Weikard +1

Given a complex, separable Hilbert space , we consider self-adjoint -realizations of differential expressions , on half-li…