Now showing items 1-10 of 37
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  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 ...
On None Approach to Equilibrium in Compartmental Systems
(University of Texas at Arlington, 1981-04)
The question of convergence of a solution of a compartmental system to an equilibrium point, as t -> °°, is of considerable interest [1-6]. Although it was not explicitly stated, the remarks in  seem to suggest that ...
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.
The Role of Nonreal Eigenvalues in the Identification of Cycles in a Compartmental System
(University of Texas at Arlington, 1983-11)
The paper concerns the relationship between the cycles in the graph of a compartmental system and the modes of the impulse response function associated with an input-output experiment. Suppose that there is at least one ...
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 ...