On conditions for the stability of a two component mixed quasimonotone reaction diffusion equation

Journal article

Abstract:: 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. © 2001 Academic Press.

Journal:: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS More from this journal
Volume:: 256
Issue:: 2
Pages:: 513-524
Publication date:: 2001-04-15
DOI:: 10.1006/jmaa.2000.7314
ISSN:: 0022-247X

Language:: English
Keywords:: reaction-diffusion

mixed quasimonotone

stability

comparison theorem
Pubs id:: pubs:15980
UUID:: uuid:f60044e5-f426-47bc-a3a9-97ec89a02f2c
Local pid:: pubs:15980
Source identifiers:: 15980
Deposit date:: 2012-12-19
ARK identifier:: ark:/29072/ora_f60044e5f42647bca3a997ec89a02f2c

Licence:: Terms and Conditions of Use for Oxford University Research Archive

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