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On Conditions for the Stability of a Two Component Mixed Quasimonotone Reaction Diffusion Equation

✍ Scribed by E.A. Gaffney


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
102 KB
Volume
256
Category
Article
ISSN
0022-247X

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✦ Synopsis


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.


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