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On the Continuous Spectra of Singular Boundary Value Problems
Published online by Cambridge University Press: 20 November 2018
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Suppose that p(t) > 0, that both p(t) and f(t) are continuous functions on the half-line 0 ≤ t < ∞, and that λ denotes a real parameter. Only real-valued functions will be considered in this paper. Let the differential equation
,
be of the limit-point type (3, p. 238), so that (1) and a linear homogeneous boundary condition
, 0 ≤ α < π,
determine a boundary value problem on 0 ≤ t < ∞ for every fixed α.
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- Copyright © Canadian Mathematical Society 1954
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