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

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 a...

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Bibliographic Details
Published inTWMS journal of applied and engineering mathematics Vol. 10; no. 2; p. 346
Main Author Baskaya, E
Format Journal Article
LanguageEnglish
Published Turkic World Mathematical Society 01.04.2020
Subjects
Dirichlet series
Eigenvalues
Mathematical research
Turkey
Online AccessGet full text
ISSN2146-1147

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Summary: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. Keywords: Hill's equation, symmetric double well potential, periodic and semi-periodic eigenvalues, instability intervals. AMS Subject Classification: 34B30, 34L15
ISSN:2146-1147