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Symmetric Green's Function for a Class of CIV Boundary Value Problems

Published online by Cambridge University Press:  20 November 2018

Kurt Kreith
Kurt Kreith*
Affiliation:
Department of Mathematics, University of CaliforniaDavis, CA 95616
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Abstract

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Generalized boundary value problems are considered for hyperbolic equations of the form utt — uss + λp(s, t)u = 0. By constructing symmetric Green's functions appropriate to such problems the existence of eigenvalues is established.

Keywords

Green's functioncharacteristicfundamental similarityfocal point35L2035P10
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 31 , Issue 3 , 01 September 1988 , pp. 272 - 279
Copyright
Copyright © Canadian Mathematical Society 1988

References

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2. Kreith, K., A class of hyperbolic focal point problems, Hiroshima Math. J. (1984), pp. 203–210.Google Scholar
3. Riesz, F. and Nagy, B. Sz., Functional Analysis, Ungar, New York, 1955.Google Scholar