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Estimates of the stability intervals for Hill’s equation
HARRY HOCHSTADT The purpose of this note is to state and prove the following theorem. Theorem. Consider the Hill's equation (1) y" +[a + q(t)]y = 0, where q(t+ir) =q(t), and q(t) is bounded. Let X,Expand
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Differential Equations: A Modern Approach
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Instability intervals of Hill's equation
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On Cauchy's Inequalities for Hermitian Matrices
(1978). On Cauchy's Inequalities for Hermitian Matrices. The American Mathematical Monthly: Vol. 85, No. 6, pp. 486-487.
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One dimensional perturbations of compact operators
Let K denote a compact selfadjoint operator acting on a Hilbert space H. L denotes a one dimensional selfadjoint operator also acting on H. It is shown that the eigenvalues of K and K+L interlace onExpand
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