Forced oscillation of a class of delay hyperbolic equation boundary value problem
type: Item
instance of: scholarly article
title: Forced oscillation of a class of delay hyperbolic equation boundary value problem
zbMATH Open document ID: 0940.35203
DOI: 10.1016/S0096-3003(98)10061-9
author: Peiguang Wang
published in: Applied Mathematics and Computation
publication date: 1999-06-29T00:00:00Z
review text: The author considers nonlinear hyperbolic equation with continuously distributed deviating arguments \[ {\partial^2\over\partial t^2} [u+ \lambda(t)u(x,t- \tau)]= a(t)\Delta u- c(x,t,u)- \int^b_a q(x,t,\xi) u[x,g(t,\xi)] d\sigma(\xi)+ f(x,t) \] subject to boundary condition of Dirichlet, Neumann or mixed type. Oscillation criteria for the solutions of the above problems are obtained via averaging technique.
reviewed by: Drumi Bainov
Mathematics Subject Classification ID: 35R10
Mathematics Subject Classification ID: 35B05
Mathematics Subject Classification ID: 35L20
zbMATH DE Number: 1311039
zbMATH Keywords: forced oscillations
zbMATH Keywords: delay hyperbolic equations
MaRDI profile type: Publication
cites work: Oscillation Properties of Nonlinear Hyperbolic Equations
cites work: Oscillatory properties of the solutions of hyperbolic differential equations with ''maximum''
cites work: On the zeros of solutions of hyperbolic equations of neutral type
cites work: Q4849010
cites work: Forced oscillations of hyperbolic differential equations with deviating arguments
cites work: Q4360721
cites work: Q4392207
full work available at URL: s0096-3003(98)10061-9
OpenAlex ID: W2057502924
description: scientific article; zbMATH DE number 1311039