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Now showing items 1-10 of 13

#### Stochastic Differential Inequalities of Ito Type

(University of Texas at Arlington, 1978-06)

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 to expect that a similar theory would be equally important ...

#### Existence and Asymptotic Behavior of Reaction-Diffusion Systems Via Coupled Quasi-Solutions

(University of Texas at Arlington, 1980-08)

In the study of comparison theorems, existence of extremal solutions and monotone iterative techniques for differential systems a property called quasimonotone property is necessary [2,7,10]. However, there are several ...

#### The Method of Upper, Lower Solutions and Volterra Integral Equations

(University of Texas at Arlington, 1980-12)

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 the given system does not possess such a monotonic property, ...

#### On the Fundamental Theory of Nonlinear Second Order Stochastic Boundary Value Problems

(University of Texas at Arlington, 1981)

A Study of nonlinear second order stochastic boundary value problems (SBVP for short) is initiated through sample calculus approach. A basic existence result for bounded nonlinearities is established. The method of upper ...

#### Existence Theorems for a Class of Functional Differential Systems

(University of Texas at Arlington, 1981-06)

In recent papers [2,6], the authors have established existence and comparison theorems for the well known Cauchy problem for ordinary differential
equations without using the monotone property on the given system. These ...

#### Stochastic Analysis of Compressible Gas Lubrication Slider Bearing Problem

(University of Texas at Arlington, 1981)

By employing the theory of stochastic differential inequalities
and a comparison result for the stochastic boundary value
problem, the effects of roughness for nonlinear gas lubricated
problem is analyzed. In particular, ...

#### Sample Solutions of Stochastic Boundary Value Problems

(University of Texas at Arlington, 1984-11)

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 result
about measurable selections of multivalued maps ...

#### Competitive-Cooperative Processes and Stability of Diffusion Systems

(University of Texas at Arlington, 1978)

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 well recognized that the probabilistic models in biological ...

#### Error Estimates of Solutions and Mean of Solutions of Stochastic Differential Systems

(University of Texas at Arlington, 1981-08)

Stochastic differential equations are considered. Estimates
in terms of statistical properties are given for the difference between
the solutions and solutions of the mean of stochastic differential systems. For this ...

#### An Estimate for the Roots of Random Algebraic Polynomial with Application

(University of Texas at Arlington, 1981-06)

An algebraic polynomial with dependent random coefficients is
considered. The difference between the sample roots of random
algebraic equation and the roots of the mean equation is
estimated. As an application the ...