Oscillation of solutions of neutral partial functional differential equations
type: Item
instance of: scholarly article
title: Oscillation of solutions of neutral partial functional differential equations
zbMATH Open document ID: 0931.35188
author: Baotong Cui
author: Wei Nian Li
published in: Journal of Mathematical Analysis and Applications
publication date: 2000-02-23T00:00:00Z
review text: The authors use the generalized Riccati transformation in order to obtain sufficient conditions for an oscillation of the solutions to the following neutral partial differential-functional equations \[ {\partial \over \partial t}\left[p(t) {\partial\over\partial t}\left(u(x,t)+ \sum^\ell_{i=1} \lambda_i(t) u(x,t-\tau_i) \right)\right] = \] \[ =a(t)\Delta u(x,t)+\sum^s_{k=1} a_k(t)\Delta u\bigl(x,t- \rho_k(t)\bigr) -q(x,t)u(x,t)- \] \[ -\sum^m_{j=1}q_j (x,t)f_j \bigl(u(x,t -\sigma_j)\bigr), \quad(x,t)\in\Omega \times [0,\infty), \] with boundary conditions of mixed type or Dirichlet type.
reviewed by: Emil Minchev
Mathematics Subject Classification ID: 35R10
Mathematics Subject Classification ID: 35B05
zbMATH DE Number: 1309050
zbMATH Keywords: generalized Riccati transformation
zbMATH Keywords: conditions for oscillation
zbMATH Keywords: boundary conditions of mixed type
MaRDI profile type: Publication
full work available at URL: jmaa.1999.6339
OpenAlex ID: W1970864129
cites work: Oscillation of the solutions of parabolic differential equations of neutral type
cites work: Oscillation of certain neutral delay parabolic equations
cites work: Q3137381
cites work: Oscillation of hyperbolic equations with functional arguments
cites work: Q4897168
cites work: OSCILLATION PROPERTIES OF THE SOLUTIONS OF HYPERBOLIC EQUATIONS WITH DEVIATING ARGUMENTS
cites work: Forced oscillation of solutions of certain hyperbolic equations of neutral type
DOI: 10.1006/JMAA.1999.6339
description: scientific article; zbMATH DE number 1309050