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Journals / TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics / 2020 / Cilt: 10 - Sayı: 2

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

E. BAŞKAYA

Pages
346–352
DOI
—

Özet

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.