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Note on the Uniqueness of the Green'S Functions Associated With Certain Differential Equations

Published online by Cambridge University Press:  20 November 2018

D. B. Sears
D. B. Sears*
Affiliation:
University of Cape Town, South Africa
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Conditions to be imposed on q(x) which ensure the uniqueness of the Green's function associated with the linear second-order differential equation

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 2 , 1950 , pp. 314 - 325
Copyright
Copyright © Canadian Mathematical Society 1950

References

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[3] Titchmarsh, E. C., On expansions in eigenfunctions (IV), Quart. J. of Math. (Oxford), vol. 12 (1941), 33–50.Google Scholar
[4] Titchmarsh, E. C., Eigenfunction expansions associated with second-order differential equations (Oxford, 1946).Google Scholar
[5] Titchmarsh, E. C., On the uniqueness of the Greeris function associated with a second-order differential equation, Can. J. of Math., vol. 1 (1949), 191–198.Google Scholar
[6] Weyl, H., Uber gewöhnliche Differentialgleichungen mit Singularitäten una die zugehorigen Entwicklungen willkiirlicher Funktionen, Math. Ann. 68 (1910), 220–2 Google Scholar