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On the Estimations of the Small Periodic Eigenvalues

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  • Seza Dinibütün
  • O. A. Veliev

Abstract

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 th gap in the spectrum of Hill-Sehrodinger operator and for the length of th instability interval of Hill's equation for small values of Finally we illustrate and compare the results obtained by two different ways for some examples.

Suggested Citation

  • Seza Dinibütün & O. A. Veliev, 2013. "On the Estimations of the Small Periodic Eigenvalues," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-11, July.
    • Handle: RePEc:hin:jnlaaa:145967
    DOI: 10.1155/2013/145967
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