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Qualitative theory for hyperbolic characteristic initial value problems

Published online by Cambridge University Press:  14 November 2011

Kurt Kreith  and
Gordon Pagan
Kurt Kreith
Affiliation:
University of California, Davis, CA 95616, U.S.A.
Gordon Pagan
Affiliation:
Royal Military College of Science, Shrivenham, England
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Synopsis

Characteristic initial value problems associated with hyperbolic equations of the form uxy + g(x, y)u = 0 are considered for (x, y)∈ℝ+× ℝ+. New criteria for the existence of a nodal line asymptotic to the axes are established, as are criteria for the existence of a zero beyond such a nodal line. Some numerical solutions are presented in graphical form and discussed relative to what is known about oscillation properties of such problems.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 94 , Issue 1-2 , 1983 , pp. 15 - 24
Copyright
Copyright © Royal Society of Edinburgh 1983

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References

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