Author:
Hsiang Wu-Teh,Kwong Man Kam
Abstract
SynopsisThe oscillatory behaviour of quasilinear hyperbolic equations of the formis studied using a Sturmian-type comparison theorem. We assume that for some function ψ′(x)≦0 and ψ′(x≦0.) The existence of the first nodal line of u is then inferred from the existence of that of the solution ν ofwith .Some results of Pagan are improved using this approach and a problem posed by him is also studied.
Publisher
Cambridge University Press (CUP)
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2. Oscillation of second-order hyperbolic equations with non-integrable coefficients;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;1982
3. A class of comparison theorems for non-linear hyperbolic initial value problems;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;1981