Abstract. The purpose of this paper is the construction of invariant regions in which we establish the global existence of solutions for reaction-diffusion systems with a general full matrix of diffusion coefficients without balance law’condition (f + g ≡ 0) and with nonhomogeneous boundary conditions. Our techniques are based on invariant regions and Lyapunov functional meth-ods. The nonlinear reaction term has been supposed to be of polynomial growth
We prove the existence, uniqueness, and continuous dependence of a generalized solution of a nonline...
AbstractThis paper deals with the existence and nonexistence of global positive solutions of quasili...
AbstractWe prove here global existence in time of classical solutions for reaction–diffusion systems...
In this article we construct the invariant regions for m-component reaction-diffusion systems with ...
In this work, in order to prove global existence in time of solutions for some strongly coupled reac...
We consider coupled reaction-diffusion models, where some components react and diffuse on the bounda...
The purpose of this paper is to construct polynomial functionals (according to solutions of the coup...
AbstractThis paper treats the global attractivity of uniform steady solutions of reaction-diffusion ...
AbstractThis paper treats the global attractivity of uniform steady solutions of reaction-diffusion ...
The goal of this work is to study the global existence in time of solutions for some coupled systems...
Abstract. The purpose of this paper is to construct polynomial function-als (according to solutions ...
AbstractWe give a condition which implies that the trivial solution, U ≡ 0, of a class of reaction-d...
We consider the system of reaction-diffusion equations $$displaylines{ u_{t}-aDelta u=eta-f(u,v)-...
We prove the existence, uniqueness, and continuous dependence of a generalized solution of a nonline...
We prove the existence, uniqueness, and continuous dependence of a generalized solution of a nonline...
We prove the existence, uniqueness, and continuous dependence of a generalized solution of a nonline...
AbstractThis paper deals with the existence and nonexistence of global positive solutions of quasili...
AbstractWe prove here global existence in time of classical solutions for reaction–diffusion systems...
In this article we construct the invariant regions for m-component reaction-diffusion systems with ...
In this work, in order to prove global existence in time of solutions for some strongly coupled reac...
We consider coupled reaction-diffusion models, where some components react and diffuse on the bounda...
The purpose of this paper is to construct polynomial functionals (according to solutions of the coup...
AbstractThis paper treats the global attractivity of uniform steady solutions of reaction-diffusion ...
AbstractThis paper treats the global attractivity of uniform steady solutions of reaction-diffusion ...
The goal of this work is to study the global existence in time of solutions for some coupled systems...
Abstract. The purpose of this paper is to construct polynomial function-als (according to solutions ...
AbstractWe give a condition which implies that the trivial solution, U ≡ 0, of a class of reaction-d...
We consider the system of reaction-diffusion equations $$displaylines{ u_{t}-aDelta u=eta-f(u,v)-...
We prove the existence, uniqueness, and continuous dependence of a generalized solution of a nonline...
We prove the existence, uniqueness, and continuous dependence of a generalized solution of a nonline...
We prove the existence, uniqueness, and continuous dependence of a generalized solution of a nonline...
AbstractThis paper deals with the existence and nonexistence of global positive solutions of quasili...
AbstractWe prove here global existence in time of classical solutions for reaction–diffusion systems...