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Stability and Asymptotic Equivalence of Perturbations of Nonlinear Systems of Differential Equations
(University of Texas at Arlington, 1980-08)
**Please note that the full text is embargoed** ABSTRACT: A nonlinear variation of constants method was introduced by Alekseev [1] and applications of this formula to questions of stability and asymptotic equivalence of ...
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 ...
Fixed Point Theorems for PPF Mappings Satisfying Inwardness Conditions
(University of Texas at Arlington, 1980-07)
**Please note that the full text is embargoed** ABSTRACT: In this paper we continue our recent development [1] of the theory of fixed point theorems of nonlinear operators whose domain and range are different Banach spaces. ...