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Theorems on asymptotics for singular Sturm-Liouville operators with various boundary conditions

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Publication:404690
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DOI10.1134/S001226611405005XzbMath1303.34072MaRDI QIDQ404690

O. A. Shveikina

Publication date: 4 September 2014

Published in: Differential Equations (Search for Journal in Brave)


zbMATH Keywords

eigenvalueseigenfunctionsasymptotic formulas


Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)


Related Items

On the asymptotic behaviour of solutions of the Dirac system and applications to the Sturm-Liouville problem with a singular potential ⋮ Equiconvergence theorems for singular Sturm-Liouville operators with various boundary conditions



Cites Work

  • On the asymptotics of eigenfunctions of Sturm-Liouville operators with distribution potentials
  • On the equiconvergence rate of trigonometric series expansions and eigenfunction expansions for the Sturm-Liouville operator with a distributional potential
  • Sturm-Liouville operators with singular potentials
  • Equiconvergence of eigenfunction expansions for Sturm-Liouville operators with a distributional potential
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