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
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
