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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 ...
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 ...
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 ...
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 ...
Identification of Linear Time-Invariant Systems
(University of Texas at Arlington, 1978-04)
A new method of identification for linear time-invariant systems with one input is presented. The method requires the estimation of weighted integrals over a finite time interval.
Relationship Between Stochastic and Differential Models of Compartmental Systems
(University of Texas at Arlington, 1978)
This paper shows that the differential equations model for compartmental systems is consistent with a stochastic description. Consequently, we may employ either a differential equations or a stochastic formulation for ...
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. ...
Parameter Estimation in Illness-Death Processes: Preinfaractional Angina
(University of Texas at Arlington, 1979)
An illness-death process is an absorbing Markov process where the illness states from the transient states of the process. This paper deals with the estimation of illness-death parameters from survivor data. The parameters ...
Linear Algebraic Computational Procedures for System Identification Problems
(University of Texas at Arlington, 1977-05)
An algorithm is presented for identifying exponentials sums [see pdf for notation] from discrete data [see pdf for notation] The algorithm determines
the number of components, [see pdf for notation] the rate constants ...
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 ...