Now showing items 61-65 of 65
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; ...
A Technique in Stability Theory of Delay-Differential Equations
(University of Texas at Arlington, 1978-04)
In the study of stability theory for delay-differential equations using Lyapunov functions and the theory of differential inequalities, it becomes necessary to choose an appropriate minimal class of functions relative to ...
On the Zeros of Monotone Operators of Retarded Type in a Banach Space
(University of Texas at Arlington, 1975-09)
Recent interest in the Cauchy problem for differential equations in a Banach space  has stimulated a similar interest for differential equations of a retarded type in a Banach space. The difficulty in imposing assumptions ...
On the Theory of Terminal Value Problems for Ordinary Differential Equations
(University of Texas at Arlington, 1981-02)
It is well known  that the comparison principle for initial value problems of ordinary differential equations is a very useful tool in the study of qualitative and quantitative theory. Recently, attempts have been ...
On Perturbing Lyapunov Functions
(University of Texas at Arlington, 1974-02)
It is known [2,3] that in proving uniform boundedness of a differential system by means of Lyapunov functions, it is sufficient to impose conditions in the complement of a compact set in [see pdf for notation], whereas, ...