Oscillatory criteria of nonlinear hyperbolic equations with continuous deviating arguments
type: Item
instance of: scholarly article
title: Oscillatory criteria of nonlinear hyperbolic equations with continuous deviating arguments
zbMATH Open document ID: 1028.35156
DOI: 10.1016/S0096-3003(98)10110-8
author: Peiguang Wang
published in: Applied Mathematics and Computation
publication date: 2000-06-25T00:00:00Z
review text: The author studies the oscillation of solutions of the following nonlinear hyperbolic equations with continuous deviating arguments \[ \frac{\partial ^2}{\partial t^2} [u + \lambda (t)u(x,t-\tau)] = a(t)\Delta u - c(t,x,u) - \int_a^b q(x,t,\xi) u[x,g(t,\xi)]d \sigma (\xi) \] together with boundary conditions of Dirichlet or mixed types. Using averaging technique sufficient conditions for the oscillation are obtained. Examples are presented.
reviewed by: Emil Minchev
Mathematics Subject Classification ID: 35R10
Mathematics Subject Classification ID: 35B05
Mathematics Subject Classification ID: 35L20
zbMATH DE Number: 1464462
zbMATH Keywords: oscillation
zbMATH Keywords: nonlinear hyperbolic equations
zbMATH Keywords: boundary conditions of Dirichlet or mixed types
MaRDI profile type: Publication
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full work available at URL: s0096-3003(98)10110-8
OpenAlex ID: W2144357239
description: scientific article; zbMATH DE number 1464462