Electronic Journal of Qualitative Theory of Differential Equations (Aug 2019)

Characterization of self-adjoint domains for regular even order $C$-symmetric differential operators

  • Jiong Sun,
  • Qinglan Bao,
  • Xiaoling Hao,
  • Anton Zettl

DOI
https://doi.org/10.14232/ejqtde.2019.1.62
Journal volume & issue
Vol. 2019, no. 62
pp. 1 – 17

Abstract

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Let $C$ be a skew-diagonal constant matrix satisfying $C^{-1}=-C=C^{\ast}$. We characterize the self-adjoint domains for regular even order $C$-symmetric differential operators with two-point boundary conditions. Thepreviously known characterizations are a special case of this one.

Keywords