Now showing items 1-5 of 5
Stochastic Differential Inequalities of Ito Type
(University of Texas at Arlington, 1978-06)
It is well known  that the method of differential inequalities plays an important role in the qualitative theory of differential equations. It is therefore natural to expect that a similar theory would be equally important ...
Existence and Asymptotic Behavior of Reaction-Diffusion Systems Via Coupled Quasi-Solutions
(University of Texas at Arlington, 1980-08)
In the study of comparison theorems, existence of extremal solutions and monotone iterative techniques for differential systems a property called quasimonotone property is necessary [2,7,10]. However, there are several ...
Existence and Comparison Theorems for Differential Equations in Banach Spaces
(University of Texas at Arlington, 1978-07)
In our recent paper  we have studied the existence of maximal and minimal solutions to the IVP in a Banach space [see pdf for notation]. (1) [see pdf for notation] where [see pdf for notation] maps [see pdf for notation] ...
Reaction-Diffusion Inequalities in Cones
(University of Texas at Arlington, 1978-02)
Recently there has been a growing interest in the study of nonlinear reaction-diffusion equations [2,3,4,7] because of the fact examples of such equations occur in population genetics [2,5,12,13], nuclear and chemical ...
Comparison Results for Reaction-Diffusion Equations in a Banach Space
(University of Texas at Arlington, 1979-06)
Let T be the temperature and n the concentration of a combustible substance. A simple model governing the combustion of the material is given by [see pdf for notations] (1.1) where the constant Q is the heat of reaction; ...