Open Access
2013 On the Estimations of the Small Periodic Eigenvalues
Seza Dinibütün, O. A. Veliev
Abstr. Appl. Anal. 2013: 1-11 (2013). DOI: 10.1155/2013/145967


We estimate the small periodic and semiperiodic eigenvalues of Hill's operator with sufficiently differentiable potential by two different methods. Then using it we give the high precision approximations for the length of n th gap in the spectrum of Hill-Sehrodinger operator and for the length of n th instability interval of Hill's equation for small values of n . Finally we illustrate and compare the results obtained by two different ways for some examples.


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Seza Dinibütün. O. A. Veliev. "On the Estimations of the Small Periodic Eigenvalues." Abstr. Appl. Anal. 2013 1 - 11, 2013.


Published: 2013
First available in Project Euclid: 27 February 2014

zbMATH: 1303.34071
MathSciNet: MR3081590
Digital Object Identifier: 10.1155/2013/145967

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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