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Now showing items 11-20 of 65

#### Existence and Comparison Results for Differential Equations in a Banach Space

(University of Texas at Arlington, 1974-07)

The study of the Cauchy problem for differential equations in a Banach space has taken two different directions. One direction is to find compactness type conditions that guarantee only existence of solutions and the ...

#### Existence and Monotone Method for Periodic Solutions of First Order Differential Equations

(University of Texas at Arlington, 1981-09)

An attempt was made recently in [3] to combine fruitfully the two basic techniques, namely the method of upper and lower solutions and the Lyapunov-Schmitt
method to investigate the existence of periodic solutions of ...

#### 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 and Uniqueness of Solutions of Delay Differential Equations on a Closed Subset of a Banach Space

(University of Texas at Arlington, 1977-05)

In an earlier work [5], sufficient conditions for the existence of solutions in a closed subset F of a Banach space E for the Cauchy problem
(1.1) [see pdf for notation]
where [see pdf for notation],
are obtained by ...

#### Existence and Comparison Theorems for Differential Equations in Banach Spaces

(University of Texas at Arlington, 1978-07)

In our recent paper [3] we have studied the existence of maximal and minimal solutions to the IVP in a Banach space [see pdf for notation].
(1) [see pdf for notation]
where [see pdf for notation] maps [see pdf for notation] ...

#### Reaction-Diffusion Inequalities in Cones

(University of Texas at Arlington, 1978-02)

Recently there has been a growing interest in the study of nonlinear reaction-diffusion equations [2,3,4,7] because of the fact examples of
such equations occur in population genetics [2,5,12,13], nuclear and chemical ...

#### Fixed Point Theorems on Closed Sets Through Abstract Cones

(University of Texas at Arlington, 1976-03)

Let D be a closed subset of a complete metric space (X,p). We seek (i) conditions upon which a map
T : D -> X has a fixed point in D and (ii) the construction of an iterative sequence whose limit is a fixed point in D. ...

#### 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, ...

#### Linear Monotone Method for Nonlinear Boundary Value Problems in Banach Spaces

(University of Texas at Arlington, 1981-05)

One of the most useful techniques in proving the existence of multiple solutions of nonlinear boundary value problems (BVP for short) is the
monotone iterative method, which yields monotone sequences that converge to ...