A spatially heterogeneous two component mixed quasimonotone system of reaction
diffusion equations is considered. The kinetic functions exhibit mixed quasimonotonicity and …

Some coupled reaction-diffusion systems arising from chemical diffusion processes and
combustion theory are analyzed. This analysis includes the existence and uniqueness of …

The stability analysis for scalar boundary-value problems is extended to coupled system of
two equations where the reaction function is quasimonotone. For a given steady-state …

Stationary solutions of reaction-diffusion systems with unilateral constraints are considered.
It is shown in examp les that the spatially homogeneous stationary solution of the sys tem …

The purpose of this paper is to prove an invariance theorem for m-components strongly
coupled reaction-diffusion systems with non-homogenous boundary conditions. A …

This note is concerned with the stability property of positive steady-state solutions of a
coupled reaction-diffusion system which is motivated by the problem of gas-liquid …

It is proved that every solution of the Neumann initial-boundary problem [formula here]
converges to some equilibrium, if the system satisfies (i)∂ Fi/∂ uj [ges] 0 for all 1 [les] i≠ j …

LET us consider a reaction-diffusion system of the type au z= &Au+ f (u, u), ah W) at= d2Au+
g (u, u) in a domain Bcr”, where f, g are real functions on R2, dI, d2 are positive real …

In this paper, we study weakly coupled reaction-diffusion systems in unbounded domains of
or, where the reaction terms are sums of quasimonotone nondecreasing and nonincreasing …

This paper deals with the asymptotic stability of spatially homogeneous equilibrium states for
some reaction diffusion systems with homogeneous Neumann boundary conditions. Our …