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Block Diagonalization and Eigenvalues
(University of Texas at Arlington, 1975-03)
**Please note that the full text is embargoed** ABSTRACT: 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 ...
Differential Inequalities and Flow-Invariance via Linear Functionals
(University of Texas at Arlington, 1977-05)
**Please note that the full text is embargoed** ABSTRACT: This paper deals with flow-invariance properties with respect to [see pdf for notation] and resulting comparison inequalities. Both the order relation He and the ...
Comparison Principle and Non Linear Contract in Abstract Spaces
(University of Texas at Arlington, 1973-10)
**Please note that the full text is embargoed** ABSTRACT: The theory of differential and integral equations exploits comparison and iterative techniques which do not fall under the Contractive Mapping Principle. For they ...
On a Boundary Value Problem for a Class of Differential Equations with a Deviating Argument
(University of Texas at Arlington, 1973-10)
**Please note that the full text is embargoed** ABSTRACT: Recently, J. Chandra [1] obtained comparison estimates for differential equations with deviating argument
(1) [see pdf for notation]
on the interval I: to [see ...
Fixed Point Theorems Through Abstract Cones
(University of Texas at Arlington, 1974-03)
**Please note that the full text is embargoed** ABSTRACT: A well-known theorem of Banach states that if T is a mapping on a complete metric space [see pdf for notation] such that for some number [see pdf for notation], the ...
On the Existence of Solutions of Differential Equations in a Banach Space
(University of Texas at Arlington, 1974-03)
**Please note that the full text is embargoed** ABSTRACT: The study of Cauchy problem for differential equations in a Banach space has taken two different directions. One approach is to find compactness type conditions ...
Existence MD Estimates for Solutions of Nonlinear Equations Near a Branch Point
(University of Texas at Arlington, 1973-12)
**Please note that the full text is embargoed** ABSTRACT: 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) ...
Mathematical Analysis of Stress Relaxation in Articular Cartilage During Compression
(University of Texas at Arlington, 1977-02)
**Please note that the full text is embargoed** ABSTRACT: Articular cartilage is the avascular bearing material covering the articulating ends of the mating bony segments of synovial joints. Functionally articular cartilage ...
Mathematical Modeling in Medicine
(University of Texas at Arlington, 1976-09)
**Please note that the full text is embargoed** ABSTRACT: Although the involvement of mathematics in medicine is still relatively recent, the discipline has become attractive to the mathematics community, and in fact, ...
On Identifiability of Impulse-Response in Compartmental Systems
(University of Texas at Arlington, 1979-04)
**Please note that the full text is embargoed** ABSTRACT: Structural identifiability in compartmental systems deals with the map from impulse-response parameters to model parameters. If the data is analyzed in terms of ...