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An Algorithm for Finding the Generalized Nucleolus of a Finite Set and the Multiobjective Discrete Programming Problems
(University of Texas at Arlington, 1982-03)
**Please note that the full text is embargoed**
Monotone Iterative Technique for Differential Equations in a Banach Space
(University of Texas at Arlington, 1981-02)
**Please note that the full text is embargoed** ABSTRACT: Let E be a real Banach space with norm [see pdf for notation].
Consider the initial value problem (1.1) [see pdf for notation],
where [see pdf for notation]. ...
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 ...
Nonuniqueness Criteria for Ordinary Differential Equations
(University of Texas at Arlington, 1981-10)
**Please note that the full text is embargoed** ABSTRACT: We consider an initial value problem
(1.1) [see pdf for notation]
where [see pdf for notation].
Several uniqueness results weaker than a Lipschitz condition are ...
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 ...
Comparison Results for First and Second Order Boundary Value Problems at Resonance
(University of Texas at Arlington, 1982-05)
**Please note that the full text is embargoed** ABSTRACT: It is well known that the comparison principle for the initial value problems has been very useful in the theory of differential equations [1, 2,5]. Recently, such ...
Sample Solutions of Stochastic Ordinary Differential Equations
(University of Texas at Arlington, 1984-11)
**Please note that the full text is embargoed** ABSTRACT: Motivated by the stochastic differential equation[see pdf for notation] in [see pdf for notation] we prove a measurable dependence on parameters theorem
for ODEs ...
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. ...