Hostname: page-component-7b7567c8c-2n9c9 Total loading time: 0 Render date: 2026-11-15T12:22:08.194Z Has data issue: false hasContentIssue false
  • English
  • Français

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 California Davis, CA 95616
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the 'Save PDF' action button.

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

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 31 , Issue 3 , 01 September 1988, pp. 272 - 279
Copyright
Copyright © Canadian Mathematical Society 1988

References

1. Kalmenov, T. Sh., On the spectrum of a selfadj oint problem for the wave equation, Akad. Nauk. Kazakh. SSR, Vestnik 1 (1983), pp. 63–66.Google Scholar
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