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Now showing items 1-10 of 11
Fixed Point Theorms of Operators with PPF Dependence in Banach Spaces
(University of Texas at Arlington, 1975)
**Please note that the full text is embargoed** ABSTRACT: In this paper we develop a theory of fixed points of a nonlinear operator, T, whose domain is the Banach space of continuous functions defined on an interval [a,b] ...
On the Construction of a Norm Associated with the Measure of Noncompactness
(University of Texas at Arlington, 1976-02)
**Please note that the full text is embargoed** ABSTRACT: It is shown that the bounded, nonempty subsets of a reflexive Banach space g can be imbedded in another Banach space B(E) in such a manner so that the measure of ...
The Extendability and Uniqueness of Solutions of Ordinary Differential Equations
(University of Texas at Arlington, 1976)
**Please note that the full text is embargoed** ABSTRACT: In a recent paper [1] the author obtained results on the extendability of solutions of perturbed differential equations. The question of the extendability of solutions ...
Remarks on Numerical Computations Using the Alternative Method
(University of Texas at Arlington, 1977-12)
**Please note that the full text is embargoed** ABSTRACT: Recently Cesari and Bowman [1] have demonstrated the applicability of the alternative method to obtain approximate solutions of nonlinear equations. They provided ...
Minimal and Maximal Solutions of Nonlinear Boundary Value Problems
(University of Texas at Arlington, 1976-08)
**Please note that the full text is embargoed** ABSTRACT: This paper is concerned with the construction
of the minimal and the maximal solutions of
the nonlinear boundary value problem [see PDF
for equation]
under ...
A Nonlinear Variation of Constants Method for Integro-Differential and Integral Equations
(University of Texas at Arlington, 1976-02)
**Please note that the full text is embargoed** ABSTRACT: It is well known that a very important
technique in obtaining the asymptotic
behavior of solutions of linear and nonlinear
ordinary differential equations ...
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 ...
Generalized Hopf Bifurcation in Rn and h-Asymptotic Stability
(University of Texas at Arlington, 1979-10)
**Please note that the full text is embargoed**
Monotone Methods for Nonlinear Boundary Value Problems in Banach Spaces
(University of Texas at Arlington, 1977-12)
**Please note that the full text is embargoed** ABSTRACT: Monotone methods have been used to generate multiple solutions of nonlinear boundary value problems for both ordinary and partial differential equations. Keller ...
Generalized Hopf Bifurcation and h-Asymptotic stability
(University of Texas at Arlington, 1979-11)
**Please note that the full text is embargoed** ABSTRACT: The prevalent approach to the Hopf bifurcation problem is to prove directly the existence of the bifurcating periodic orbits by using such standard
procedures as ...