PERIODIC AND SEMI-PERIODIC EIGENVALUES OF HILL'S EQUATION WITH SYMMETRIC DOUBLE WELL POTENTIAL


Baskaya E.

TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, cilt.10, ss.346-352, 2020 (ESCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 10 Konu: 2
  • Basım Tarihi: 2020
  • Dergi Adı: TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS
  • Sayfa Sayıları: ss.346-352

Özet

In this paper, some estimates are derived explicitly for periodic and semi-periodic eigenvalues of Hill's equation with symmetric double well potentials. Also, lengths of the instability intervals are obtained and bounds for the gaps of Dirichlet and Neumann eigenvalues are given by using an auxiliary eigenvalue problem.