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Now showing items 21-30 of 37

#### Remarks on Nonlinear Contraction and Comparison Principle in Abstract Cones

(University of Texas at Arlington, 1975-06)

The contraction mapping principle and the Schauder principle can both be viewed as a comparison of maps. For the former one has a condition of the type [see pdf for notation] and for the latter one has a condition of the ...

#### Extension of Compartmental Parameters to Blocks of Compartments with Application to Lipoprotein Kinetics

(University of Texas at Arlington, 1983-02)

Suppose that the compartments of a compartmental model are separated into blocks (sets of compartments). In general, the blocks can not be regarded as compartments but it may be possible to construct a "condensation model," ...

#### Remarks on Bellman's Structural Identifiability

(University of Texas at Arlington, 1985-03)

This paper remarks on unidentifiable compartmental systems. Emphasis is placed on detecting properties of the system directly from the compartmental diagram without resort to complicated analysis. New concepts are introduced. ...

#### Separation and Monotonicity Results for the Roots of the Moment Problem

(University of Texas at Arlington, 1978-05)

Consider the system identification problem [see pdf for notation]
[see pdf for notation]
where u(t) and y(t) are given discretely on the interval [see pdf for notation] and we wish to determine information about the ...

#### On Identifiability of Impulse-Response in Compartmental Systems

(University of Texas at Arlington, 1979-04)

Structural identifiability in compartmental systems deals with the map from impulse-response parameters to model parameters. If the data is analyzed in terms of integral transforms sk (Fourier,
moments, etc) then we may ...

#### On Mean Residence Times in Compartments

(University of Texas at Arlington, 1979-05)

This paper is concerned with a set of parameters which measure the mean time a random particle resides in individual compartments in response to a given load distribution. These parameters are related to other time parameters ...

#### On a Measure of Nonconvexity and Applications

(University of Texas at Arlington, 1975-06)

The measure of noncompactness which was introduced by Kuratowski [8] (in 1930) has now become an important tool in nonlinear analysis (although its value in that regard was not appreciated until much later). Following ...

#### System Identification Problems and the Method of Moments

(University of Texas at Arlington, 1977-05)

Let X(t) and W(t) be vectors of dimension N > 0. We are concerned with the problem of computing an N x N matrix A such that
[see pdf for notation](1.1)
where X'(t) is the rate of change of X(t) with respect to time t. ...

#### 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 ...

#### Existence MD Estimates for Solutions of Nonlinear Equations Near a Branch Point

(University of Texas at Arlington, 1973-12)

Consider the equation (1.1) [see pdf for notation]
on a Hilbert space H. Here n is a scalar and [see pdf for notation] is a linear Fredholm operator. That is:
(a) L is closed; (b) The domain, D(L) is dense in H;
(c) The ...