Title of article
PERIODIC and SEMI-PERIODIC EIGENVALUES OF HILL’S EQUATION WITH SYMMETRIC DOUBLE WELL POTENTIAL
Author/Authors
BASKAYA, E Karadeniz Technical University - Department of Mathematics - Trabzon, Turkey
Pages
7
From page
346
To page
352
Abstract
In this paper, some estimates are derived explicitly for periodic and semiperiodic eigenvalues of Hill’ s equation with symmetric double well potential. 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
Journal title
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
Serial Year
2020
Record number
2588918
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