A comparison theorem for the first nodal line of the solutions of quasilinear hyperbolic equations with non-increasing initial values

DOI10.1017/S0308210500012075zbMath0446.35007MaRDI QIDQ3891078

Wu-teh Hsiang, Man Kam Kwong

Publication date: 1980

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

comparison theoremquasilinear hyperbolic equationsoscillatory behaviournon-increasing initial values

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Second-order nonlinear hyperbolic equations (35L70)

Related Items (3)

Oscillation of second-order hyperbolic equations with non-integrable coefficients ⋮ A class of comparison theorems for non-linear hyperbolic initial value problems ⋮ Oscillation criteria for nonlinear Bianchi equations

Cites Work

• Existence of Nodal Lines for Solutions of Hyperbolic Equations
• An oscillation theorem for characteristic initial value problems in linear hyperbolic equations

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