20 citations · 62 across the 21 of their papers we have counts for
22 papers
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,…
Bright and dark breathers on an elliptic wave in the defocusing mKdV equation
Dmitry E. Pelinovsky, Rudi Weikard
Breathers on an elliptic wave background consist of nonlinear superpositions of a soliton and a periodic wave, both traveling with different wave speeds and interacting periodicall…
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…
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…
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 .…
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…