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Now showing items 1-10 of 119

#### On the Construction of a Norm Associated with the Measure of Noncompactness

(University of Texas at Arlington, 1976-02)

It is shown that the bounded, nonempty subsets of a reflexive Banach space g can be imbedded in another Banach space B(E) in such a manner so that the measure of noncompactness corresponds to the norm in B(E). The results ...

#### A Survey of Certain K-Sample Test Procedures with Applications to LPR-5 Data

(University of Texas at Arlington, 1979-07)

When dealing with k independent samples, it is frequently of interest to jointly assess the underlying population distributions. Usually such an
assessment is carried out by performing k independent tests; that is, we ...

#### Stochastic Parameters in Compartmental Systems and Structural Identification

(University of Texas at Arlington, 1979-07)

Let [see pdf for notation] denote the mean time a particle resides in i having started in j and let [see pdf for notation] denote the probability that a particle reaches i from j. These parameters, expressed in terms of ...

#### Stochastic Differential Inequalities of Ito Type

(University of Texas at Arlington, 1978-06)

It is well known [3] 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 ...

#### 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 ...

#### 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 ...

#### 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 ...

#### On a Boundary Value Problem for a Class of Differential Equations with a Deviating Argument

(University of Texas at Arlington, 1973-10)

Recently, J. Chandra [1] obtained comparison estimates for differential equations with deviating argument
(1) [see pdf for notation]
on the interval I: to [see pdf for notation] , where [see pdf for notation] is a given ...