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Now showing items 1-10 of 37

#### On Washout in Nonlinear Compartmental Systems

(University of Texas at Arlington, 1981-04)

Let x(t) be a solution of a compartmental system. If, for some compartment j, x (t) -> 0 as t -> °°, then we say that compartment
j washes out. We show that a compartment washes out if it always reaches (along a fixed ...

#### Fixed Point Theorems on Closed Sets Through Abstract Cones

(University of Texas at Arlington, 1976-03)

Let D be a closed subset of a complete metric space (X,p). We seek (i) conditions upon which a map
T : D -> X has a fixed point in D and (ii) the construction of an iterative sequence whose limit is a fixed point in D. ...

#### 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 ...

#### 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 ...

#### Estimating Transition Probabilities from Aggregate Samples Augmented by Haphazard Recaptures

(University of Texas at Arlington, 1995)

Transition probabilities provide a convenient summary of changes in a categorical trait over time in a population. The difficulties of estimating such probabilities based on only aggregate data from repeated sampling are ...

#### Comparison Principle and Non Linear Contract in Abstract Spaces

(University of Texas at Arlington, 1973-10)

The theory of differential and integral equations exploits comparison and iterative techniques which do not fall under the Contractive Mapping Principle. For they make use of partial orderings and maximal solutions; concepts ...

#### On Approach to Equilibrium in Nonlinear Compartmental Systems

(University of Texas at Arlington, 1981-02)

A closed compartmental system is a set of nonnegative interdependent functions,
[see pdf for notation]
such that their sum is constant. The functions can represent populations, masses or concentrations, depending on the ...

#### Block Diagonalization and Eigenvalues

(University of Texas at Arlington, 1975-03)

Let A denote an Algebra with an identity element. Consider an [see pdf for notation] matrix [see pdf for notation] with a partitioning [see pdf for notation] where E and H have respective orders [see pdf for notation] and ...

#### Asymptotic Properties of a Nonlinear Diffusion Process Arising in Articular Cartilage

(University of Texas at Arlington, 1977-01)

There has been considerable effort put forth to analyse degenerative Joint diseases in terms of the principles of mechanics and hydrodynamics [8]. This effort has led to mathematical models which are systems of nonlinear ...

#### Mathematical Analysis of Stress Relaxation in Articular Cartilage During Compression

(University of Texas at Arlington, 1977-02)

Articular cartilage is the avascular bearing material covering the articulating ends of the mating bony segments of synovial joints. Functionally articular cartilage provides a near frictionless surface, whose coefficient ...