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

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Baskaya E.

TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, cilt.10, sa.2, ss.346-352, 2020 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: 2
  • Basım Tarihi: 2020
  • Dergi Adı: TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.346-352
  • Anahtar Kelimeler: Hill's equation, symmetric double well potential, periodic and semi-periodic eigenvalues, instability intervals
  • Karadeniz Teknik Üniversitesi Adresli: Evet

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.