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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 ...
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 ...
Monotone Method for Nonlinear Boundary Value Problems Arising in Transport Process
(University of Texas at Arlington, 1981-04)
**Please note that the full text is embargoed** ABSTRACT: Recently, monotone iterative methods have been successfully employed to prove existence of multiple solutions and point-wise bounds on solutions
of nonlinear ...
Method of Quasi-Upper and Lower Solutions in Abstract Cones
(University of Texas at Arlington, 1981-05)
**Please note that the full text is embargoed** ABSTRACT: Let E be a real Banach space with ||•|| and let E* denote the dual of E. Let K C E be a cone, that is, a closed convex subset such
that ^K C K for every ^ ≥ 0 and ...
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 ...
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]. ...
On the Method of Upper and Lower Solutions in Abstract Cones
(University of Texas at Arlington, 1981-02)
**Please note that the full text is embargoed**
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 ...
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. ...