Hostname: page-component-586b7cd67f-l7hp2 Total loading time: 0 Render date: 2024-11-28T04:10:51.646Z Has data issue: false hasContentIssue false
  • English
  • Français

A class of comparison theorems for non-linear hyperbolic initial value problems

Published online by Cambridge University Press:  14 November 2011

Kurt Kreith
Kurt Kreith
Affiliation:
Department of Mathematics, University of California, Davis, California 95616, U.S.A.
Get access Rights & Permissions [Opens in a new window]

Synopsis

An exponential form of the Riccati transformation is used to establish zeros of solutions of a class of characteristic initial value problems.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 87 , Issue 3-4 , 1981 , pp. 189 - 191
Copyright
Copyright © Royal Society of Edinburgh 1981

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1Hsiang, W. and Kwong, M.. A comparison theorem for the first nodal line of the solutions of quasilinear hyperbolic equations with non-increasing initial values. Proc. Roy. Soc. Edinburgh Sect. A 86 (1980), 139–151.CrossRefGoogle Scholar
2Pagan, G.. Existence of nodal lines for solutions of hyperbolic equations. Amer. Math. Monthly 83 (1976), 358–359.CrossRefGoogle Scholar
3Walter, W.. Differential and Integral Inequalities (New York: Springer, 1970).CrossRefGoogle Scholar