Corpus ID: 17594988

Remarks on the perturbation theory for problems of Mathieu type

@inproceedings{Arnol2005RemarksOT,
  title={Remarks on the perturbation theory for problems of Mathieu type},
  author={Ver{\'o}nica Arnol},
  year={2005}
}
  • Verónica Arnol
  • Published 2005
  • CONTENTS Introduction 215 §1. Rayleigh-Schrodinger series for perturbations of a simple eigenvalue 217 §2. Perturbations of a multiple eigenvalue 218 §3. Widths of forbidden zones of even Hill's equations of Mathieu type 219 §4. Formulae for the denominators of terms in the perturbation theory series. 222 §5. Conclusion of the investigation of forbidden zones 226 §6. Widths of resonance zones for mappings of the circle 228 References 233 

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