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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**
A New Computer-Oriented Approach to Molecular Mechanics
(University of Texas at Arlington, 1982-02)
**Please note that the full text is embargoed** ABSTRACT: A new dynamical theory for atomic and molecular dynamics is formulated and discussed. The associated nonlinear differential system is derived from general atomic ...
Existence of Periodic Solutions of Semilinear Parabolic Equations and the Method of Upper and Lower Solutions
(University of Texas at Arlington, 1982-04)
**Please note that the full text is embargoed** ABSTRACT: The existence of periodic solutions of semilinear parabolic equations has been investigated by several authors [1-10,15-18] by different methods such as the method ...
A New Approach to the Stability Theory of Functional Differential Systems
(University of Texas at Arlington, 1982-01)
**Please note that the full text is embargoed** ABSTRACT: In the study of stability theory for delay differential
equations using Lyapunov functions and the theory of differential inequalities, it becomes necessary to ...
Problems at Resonance for First and Second Order Differential Equations Via Lyapunov-Like Functions
(University of Texas at Arlington, 1982-04)
**Please note that the full text is embargoed** ABSTRACT: Recently [7,8,10] an attempt is made successfully to combine the two basic techniques namely, Lyapunov-Schmidt method and the method of upper and lower solutions, ...
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 ...
The Most Conservative Beta Prior Distribution for Binomial Sampling
(University of Texas at Arlington, 1982-06)
**Please note that the full text is embargoed** ABSTRACT: The incorporation of prior information about a parameter into a statistical
procedure is an essential feature of Bayesian statistics. However, the manner in which ...
Probability of Selecting the "Correct" Model and Determination of Sample Size in Regression
(University of Texas at Arlington, 1982-04)
**Please note that the full text is embargoed** ABSTRACT: Selection of variables in multiple linear regression is a common problem in model building. Let the "correct" model be the model which includes all variables that ...
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 ...
On the Existence of Periodic Quasi Solutions for First Order Systems
(University of Texas at Arlington, 1982-09)
**Please note that the full text is embargoed** ABSTRACT: Recently the method of upper and lower solutions and Lyapunov-Schmitt
method have been fruitfully employed to prove the existence of periodic solutions for scalar ...