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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 ...