Oscillation criteria for systems of parabolic equations with functional arguments
type: Item
instance of: scholarly article
title: Oscillation criteria for systems of parabolic equations with functional arguments
zbMATH Open document ID: 1064.35201
published in: Rocky Mountain Journal of Mathematics
publication date: 2005-03-11T00:00:00Z
review text: The authors obtain sufficient conditions for oscillation of the solutions of parabolic differential equations with functional arguments of the form \[ \frac{\partial}{\partial t}u_i(x,t) = a_i(t)\Delta u_i(x,t) + \sum_{k=1}^m \sum_{j=1}^s a_{ikj}(t)\Delta u_k(x,\rho_j(t)) \] \[ - \sum_{k=1}^m \sum_{h=1}^l q_{ikh}(x,t)u_k(x,\sigma_h(t)), \quad (x,t) \in \Omega \times \mathbb R_+, \quad i=1,\dots,m, \] subject to a boundary condition of Dirichlet or Neumann type.
reviewed by: Emil Minchev
Mathematics Subject Classification ID: 35R10
Mathematics Subject Classification ID: 35B05
Mathematics Subject Classification ID: 35K20
zbMATH DE Number: 2144267
zbMATH Keywords: boundary condition of Dirichlet or Neumann type
author: Wei Nian Li
author: Fanwei Meng
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1216/rmjm/1181069841
OpenAlex ID: W2006661334
cites work: Q3348341
cites work: Oscillation tests for delay equations
cites work: OSCILLATION FOR SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS WITH FUNCTIONAL ARGUMENTS
cites work: Oscillations Of Systems Of Neutral Delay Parabolic Equations
cites work: Oscillation for systems of parabolic equations of neutral type
cites work: Q4944437
cites work: Q4360721
DOI: 10.1216/RMJM/1181069841
description: scientific article; zbMATH DE number 2144267