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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.
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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

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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