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Now showing items 11-20 of 348

#### Supercomputer Simulation of Cracks and Fractures by Quasimolecular Dynamics

(University of Texas at Arlington, 1989)

The gross physical behavior of solids and liquids is the result of atomic or molecular reactions to external forces. Using molecular dynamics, we can study such reactions in the small, on the molecular level. In quasimolecular ...

#### Mathematical Modeling in Medicine

(University of Texas at Arlington, 1976-09)

Although the involvement of mathematics in medicine is still relatively recent, the discipline has become attractive to the mathematics community, and in fact, medically oriented articles presently appear in several ...

#### Programs and Data Sets for Quasimolecular Modeling of Cavity Flow

(University of Texas at Arlington, 1987-01)

#### Optimum Structural Probability Bounds for the Right-tail of the Paretian Law

(University of Texas at Arlington, 1976-06)

The two-parameter Pareto density function [see PDF for equation] is widely used in applied statistics. For example, in reliability theory (1.1) represents the failure-time distribution of a "work-hardened" component ...

#### On the Method of Vector Lyapunov Functions

(University of Texas at Arlington, 1974-09)

The method of vector Lyapunov functions consists of employing several Lyapunov-like functions and the theory of vectorial differential inequalities. This general comparison technic leads to a more flexible mechanism to ...

#### Monotone Technique for Periodic Solutions of Differential Equations

(University of Texas at Arlington, 1982-07)

The existence of periodic solutions has received
a great deal of attention in recent years [1,7-11,14]. In [8,11] the existence of solutions of first
and second order PBVP (periodic boundary
value problem) has ...

#### A Modified Greenberg Speed-flow Traffic Model

(University of Texas at Arlington, 2008)

A modified Greenberg speed-flow model is proposed. We assume speed is a logarithmic function of free-flow speed, concentration and a minimum constant density. Optimization techniques are used to maximize the flow. Taylor's ...

#### A New Computer-Oriented Approach to Molecular Mechanics

(University of Texas at Arlington, 1982-02)

A new dynamical theory for atomic and molecular dynamics is formulated and discussed. The associated nonlinear differential system is derived from general atomic and molecular stability properties and from aspects of modern ...

#### On the Existence of Zeros of Lyapunov-Monotone Operators

(University of Texas at Arlington, 1975-02)

Consider a nonlinear operator T from a Banach space into itself.
The study of the existence of zeros of T plays an important role in yielding fixed points of nonlinear operators. The operator T has a zero if and only if ...

#### Maximal and Minimal Solutions and Comparison Results for Differential Equations in Abstract Cones

(University of Texas at Arlington, 1974-04)

As is well known, an important technique in the theory of differential equations is concerned with estimating a function satisfying a differential inequality by means of the extremal solutions of the corresponding differential ...