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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 ...
Quasi-Invariant Manifolds, Stability, and Generalized Hopf Bifurcation
(University of Texas at Arlington, 1981-03)
**Please note that the full text is embargoed** ABSTRACT: We are interested in obtaining an analysis of the bifurcating periodic orbits arising in the generalized Hopf bifurcation problems in Rn. The existence of these ...
Generalized Transversality, Exchange of Stability and Hopf Bifurcation
(University of Texas at Arlington, 1981-02)
**Please note that the full text is embargoed** ABSTRACT: In Hopf bifurcation theory often an exchange of stability of an
equilibrium gives rise to the creation of periodic orbits for a
one parameter family of differential ...
A Topological Method for Vector-Valued and Nth Order Nonlinear Boundary Value Problems
(University of Texas at Arlington, 1982-05)
**Please note that the full text is embargoed** ABSTRACT: The use of topological methods in the analysts of second order nonlinear boundary value problems (BVP for short) in Rn of the form
(E) [see pdf for notation]
(C) [see ...
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 ...
Stability and Generalized Hopf Bifurcation Through a Reduction Principle
(University of Texas at Arlington, 1980-10)
**Please note that the full text is embargoed** ABSTRACT: We are interested in obtaining an analysis of the bifurcating periodic orbits arising in the generalized Hopf bifurcation problems in Rn. The existence of these ...