We consider a non-self-adjoint third-order operator on the interval [0, 2] with real 1-periodic coefficients and three-point Dirichlet conditions at the points 0, 1 and 2. The eigenvalues of this operator consist an auxiliary spectrum for the inverse spectral problem associated with the good Boussinesq equation. We determine eigenvalue asymptotics at high energy and the trace formula for the operator.

Original languageEnglish
JournalApplicable Analysis
Publication statusE-pub ahead of print - 9 May 2019

Scopus subject areas

  • Analysis
  • Applied Mathematics

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