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Differential Equations on Closed Subsets of a Banach Space
(University of Texas at Arlington, 1974-07)
**Please note that the full text is embargoed** ABSTRACT: The problem of existence of solutions to the initial value problem [see pdf for notations], where [see pdf for notations], F is a locally closed subset of a Banach ...
On the Redundancy of Monotony Assumption
(University of Texas at Arlington, 1974-07)
**Please note that the full text is embargoed** ABSTRACT: It is well known that all the results in integral inequalities of Bellman-Gronwall-Reid type demand an assumption of monotony on the functions involved. Since the ...
On the Method of Vector Lyapunov Functions
(University of Texas at Arlington, 1974-09)
**Please note that the full text is embargoed** ABSTRACT: The method of vector Lyapunov functions consists of employing several Lyapunov-like functions and the theory of vectorial differential inequalities. This general ...
Existence and Comparison Results for Differential Equations in a Banach Space
(University of Texas at Arlington, 1974-07)
**Please note that the full text is embargoed** ABSTRACT: The study of the Cauchy problem for differential equations in a Banach space has taken two different directions. One direction is to find compactness type conditions ...
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 ...
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 ...
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 ...
A Polynomial Dual of Partitions
(University of Texas at Arlington, 1974-09)
**Please note that the full text is embargoed** ABSTRACT: Let [see pdf for notation] be a non-negative integral polynomial.
The polynomial P(x) is m-graphical, and a multi-graph G a realization of P(x), provided there ...