The limit-point/limit-circle classification for ordinary differential equations with distributional coefficients
Varun Bhardwaj
University of Alabama at Birmingham, Birmingham, USARudi Weikard
University of Alabama at Birmingham, Birmingham, USA
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Abstract
We investigate the limit-point/limit-circle classification for the differential equation
where and and are matrices whose entries are distributions of order zero with Hermitian and non-negative. We identify the situations when the classical alternative of Weyl works and when it fails.
Cite this article
Varun Bhardwaj, Rudi Weikard, The limit-point/limit-circle classification for ordinary differential equations with distributional coefficients. DM 29 (2024), no. 3, pp. 747–762
DOI 10.4171/DM/954