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On the Estimations of the Small Periodic Eigenvalues

On the Estimations of the Small Periodic Eigenvalues

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 …