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The Spectral Matrix and Green's Function for Singular Self-Adjoint Boundary Value Problems

Published online by Cambridge University Press:  20 November 2018

E. A. Coddington*
Affiliation:
University of California, Los Angeles
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Let L denote the formal ordinary differential operator

,

where we assume the pk are complex-valued functions with n-k continuous derivatives on an open real interval a < x < b (a = — ∞, b = + ∞, or both may occur), p0(x) ≠ 0 on a < x < b, and L coincides with its Lagrange adjoint L+ given by

.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1954

References

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