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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 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 ...
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 ...
Cone-Valued Lyapunov Functions
(University of Texas at Arlington, 1976-08)
**Please note that the full text is embargoed** ABSTRACT: It is very well known that employing a single
Lyapunov function and the theory of scalar
differential inequality offers a useful
mechanism to study a ...
A New Approach to the Stability Theory of Functional Differential Systems
(University of Texas at Arlington, 1982-01)
**Please note that the full text is embargoed** ABSTRACT: In the study of stability theory for delay differential
equations using Lyapunov functions and the theory of differential inequalities, it becomes necessary to ...
Generalized Stability of Motion and Vector Lyapunov Functions
(University of Texas at Arlington, 1976-06)
**Please note that the full text is embargoed** ABSTRACT: The direct theory for stability of motion in
terms of vector Lyapunov functions and the
general comparison method is well-developed
[4, 5, 6, 7] and ...
Variation of Constants, Vector Lyapunov Functions and Comparison Theorem
(University of Texas at Arlington, 1980-04)
**Please note that the full text is embargoed** ABSTRACT: In this paper we combine the above ideas to obtain a new comparison result and discuss its relation to known results. A simple application to stability theory is ...
Quasi-Solutions, Vector Lyapunov Functions and Monotone Method
(University of Texas at Arlington, 1980-02)
**Please note that the full text is embargoed** ABSTRACT: It is now well known that the method of vector Lyapunov functions provides an effective tool to investigate the properties of large scale
interconnected dynamical ...
Practical Stability and Lyapunov Functions
(University of Texas at Arlington, 1979-10)
**Please note that the full text is embargoed** ABSTRACT: The notion of "practical stability" was discussed in the monograph by LaSalle and Lefschetz [6] in which they point out that stability investigations
may not ...