Now showing items 31-40 of 65
General Uniqueness Criteria for Ordinary Differential Equations
(University of Texas at Arlington, 1982-02)
This paper generalizes various uniqueness results and offers very general uniqueness criteria which include different types of results considered so far.
Competitive-Cooperative Processes and Stability of Diffusion Systems
(University of Texas at Arlington, 1978)
Very recently, the stability analysis of deterministic , random [12,13] competitive-cooperative process has been made in a systematic and unified way. It is well recognized that the probabilistic models in biological ...
Cone-Valued Lyapunov Functions
(University of Texas at Arlington, 1976-08)
It is very well known that employing a single Lyapunov function and the theory of scalar differential inequality offers a useful mechanism to study a variety of qualitative problems of differential equations ...
Equations with Unbounded Delay: a Survey
(University of Texas at Arlington, 1979-08)
The theory of equations with delay has been considerably developed during the past 30 years. The first book dedicated to this subject has been published by A. D. Myshkis , in 1951, and has been subsequently translated ...
Differential Equations on Closed Subsets of a Banach Space
(University of Texas at Arlington, 1974-07)
The problem of existence of solutions to the initial value problem [see pdf for notations], where [see pdf for notations], F is a locally closed subset of a Banach space E. Nonlinear comparison functions and dissipative ...
Differential Inequalities and Flow-Invariance via Linear Functionals
(University of Texas at Arlington, 1977-05)
This paper deals with flow-invariance properties with respect to [see pdf for notation] and resulting comparison inequalities. Both the order relation He and the regularity conditions on x are defined, in a general manner, ...
On the Method of Upper and Lower Solutions in Abstract Cones
(University of Texas at Arlington, 1981-02)
Existence of Coupled Quasi-solutions of Systems of Nonlinear Elliptic Boundart Value Problems
(University of Texas at Arlington, 1983-06)
Systems of nonlinear elliptic boundary value problems arise in many applications such as multiple chemical reactions that take place in an isothermal or nonisothermal catalyst pellet and simple models of tubular chemical ...
Existence of Coupled Quasi-solutions of Systems of Nonlinear Reaction-diffusion Equations
(University of Texas at Arlington, 1983-10)
Systems of nonlinear parabolic initial boundary value problems arise in many applications such as epidemies, ecology, biochemistry, biology, chemical and nuclear engineering. Constructive methods of proving existence ...
Quasi-Solutions, Vector Lyapunov Functions and Monotone Method
(University of Texas at Arlington, 1980-02)
It is now well known that the method of vector Lyapunov functions provides an effective tool to investigate the properties of large scale interconnected dynamical and control systems. [3,4,5,11-15]. Several Lyapunov ...