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Now showing items 11-20 of 119
A Technic in Perturbation Theory
(University of Texas at Arlington, 1974-07)
**Please note that the full text is embargoed** ABSTRACT: A study of the effect of perturbations of differential equations depends on the method employed and on the nature of perturbations. One of the most used technics ...
Interval Estimation of Reliability Characteristics of a k-identical Unit Standby Redundant System
(University of Texas at Arlington, 1977-02)
**Please note that the full text is embargoed** ABSTRACT: Standby redundancy is a method for increasing the reliability of a system through the use of additional "backup" units. Assuming perfect failure-sensing and ...
Stability of Differential Systems with Impulsive Perturbations in Terms of Two Measures
(University of Texas at Arlington, 1977-01)
**Please note that the full text is embargoed** ABSTRACT: The study of differential systems of the form
(1.1) [see pdf for notation]
where [see pdf for notation] denotes the distributional derivative of [see pdf for ...
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 ...
Asymptotic Equilibrium of Ordinary Differential Systems in a Banach Space
(University of Texas at Arlington, 1974-03)
**Please note that the full text is embargoed** ABSTRACT: A differential system [see pdf for notation] where [see pdf for notation] has asymptotic equilibrium if 1) for any initial condition [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) ...
On Perturbing Lyapunov Functions
(University of Texas at Arlington, 1974-02)
**Please note that the full text is embargoed** ABSTRACT: It is known [2,3] that in proving uniform boundedness of a differential system by means of Lyapunov functions, it is sufficient to impose conditions in the complement ...