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A Technic in Perturbation Theory
(University of Texas at Arlington, 1974-07)
**Please note that the full text is embargoed** ABSTRACT: A study of the effect of perturbations of differential equations depends on the method employed and on the nature of perturbations. One of the most used technics ...
Sample Solutions of Stochastic Boundary Value Problems
(University of Texas at Arlington, 1984-11)
**Please note that the full text is embargoed** ABSTRACT: We prove existence theorems for nonlinear stochastic
Sturmiouville problems which improve results from [4].
In the simplest case this is done by means of a known ...
On the Fundamental Theory of Nonlinear Second Order Stochastic Boundary Value Problems
(University of Texas at Arlington, 1981)
**Please note that the full text is embargoed** ABSTRACT: A Study of nonlinear second order stochastic boundary value problems (SBVP for short) is initiated through sample calculus approach. A basic existence result for ...
Stochastic Analysis of Compressible Gas Lubrication Slider Bearing Problem
(University of Texas at Arlington, 1981)
**Please note that the full text is embargoed** ABSTRACT: By employing the theory of stochastic differential inequalities
and a comparison result for the stochastic boundary value
problem, the effects of roughness for ...
Existence of Coupled Quasi-solutions of Systems of Nonlinear Reaction-diffusion Equations
(University of Texas at Arlington, 1983-10)
**Please note that the full text is embargoed** ABSTRACT: Systems of nonlinear parabolic initial boundary value problems arise in many applications such as epidemies, ecology, biochemistry, biology, chemical
and nuclear ...
The Method of Upper, Lower Solutions and Volterra Integral Equations
(University of Texas at Arlington, 1980-12)
**Please note that the full text is embargoed** ABSTRACT: In employing the method of upper and lower solutions to dynamical systems, one is required to impose a certain monotone property on the given system [5,6,11] When ...
Existence and Asymptotic Behavior of Reaction-Diffusion Systems Via Coupled Quasi-Solutions
(University of Texas at Arlington, 1980-08)
**Please note that the full text is embargoed** ABSTRACT: In the study of comparison theorems, existence of extremal solutions and monotone iterative techniques for differential systems a property called quasimonotone ...
Existence of Coupled Quasi-solutions of Systems of Nonlinear Elliptic Boundart Value Problems
(University of Texas at Arlington, 1983-06)
**Please note that the full text is embargoed** ABSTRACT: Systems of nonlinear elliptic boundary value problems arise in many applications such as multiple chemical reactions that take place in an isothermal or nonisothermal ...
Stochastic Differential Inequalities of Ito Type
(University of Texas at Arlington, 1978-06)
**Please note that the full text is embargoed** ABSTRACT: It is well known [3] that the method of differential inequalities plays an important role in the qualitative theory of differential equations. It is therefore natural ...
Competitive-Cooperative Processes and Stability of Diffusion Systems
(University of Texas at Arlington, 1978)
**Please note that the full text is embargoed** ABSTRACT: Very recently, the stability analysis of deterministic [12], random [12,13] competitive-cooperative process has been made in a systematic and unified way. It is ...