TY - JOUR
T1 - On Conditions for the Stability of a Two Component Mixed Quasimonotone Reaction Diffusion Equation
AU - Gaffney, Eamonn
PY - 2001/4/15
Y1 - 2001/4/15
N2 - A spatially heterogeneous two component mixed quasimonotone system of reaction diffusion equations is considered. The kinetic functions exhibit mixed quasimonotonicity and are, in general, non-autonomous, while the boundary conditions are given by one of three possibilities: homogeneous Dirichlet, homogeneous Neumann, or Neumann with a constant inhomogeneity. Some conditions which yield the stability of such equations are deduced via comparison theorems and subsequently used to investigate the stability of a simple example system. (C) 2001 Academic Press.
AB - A spatially heterogeneous two component mixed quasimonotone system of reaction diffusion equations is considered. The kinetic functions exhibit mixed quasimonotonicity and are, in general, non-autonomous, while the boundary conditions are given by one of three possibilities: homogeneous Dirichlet, homogeneous Neumann, or Neumann with a constant inhomogeneity. Some conditions which yield the stability of such equations are deduced via comparison theorems and subsequently used to investigate the stability of a simple example system. (C) 2001 Academic Press.
UR - http://www.scopus.com/inward/record.url?scp=0035872056&partnerID=8YFLogxK
U2 - 10.1006/jmaa.2000.7314
DO - 10.1006/jmaa.2000.7314
M3 - Article
VL - 256
SP - 513
EP - 524
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 2
ER -