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An oscillation theorem for characteristic initial value problems in linear hyperbolic equations

Published online by Cambridge University Press:  14 February 2012

Gordon Pagan
Affiliation:
Department of Mathematics and Ballistics, Royal Military College of Science, Shrivenham

Synopsis

It is established that under certain restrictions the solution u of the characteristic initial value problem uxy+g(x, y)u = 0, u(x, 0) = p(x) and u(0, y) = q(y), where p(x) > 0 and q(y) > 0, in [0, ∞) x [0, ∞) changes sign along a monotonic decreasing curve which is asymptotic to the axes.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 1977

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References

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