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Equations with Unbounded Delay: a Survey
(University of Texas at Arlington, 1979-08)
**Please note that the full text is embargoed** ABSTRACT: The theory of equations with delay has been considerably developed during the past 30 years. The first book dedicated to this subject has been published by A. D. ...
On the Zeros of Monotone Operators of Retarded Type in a Banach Space
(University of Texas at Arlington, 1975-09)
**Please note that the full text is embargoed** ABSTRACT: Recent interest in the Cauchy problem for differential equations in a Banach space [9] has stimulated a similar interest for differential equations of a retarded ...
Remarks on Nonlinear Contraction and Comparison Principle in Abstract Cones
(University of Texas at Arlington, 1975-06)
**Please note that the full text is embargoed** ABSTRACT: The contraction mapping principle and the Schauder principle can both be viewed as a comparison of maps. For the former one has a condition of the type [see pdf for ...
On the Construction of a Norm Associated with the Measure of Noncompactness
(University of Texas at Arlington, 1976-02)
**Please note that the full text is embargoed** ABSTRACT: It is shown that the bounded, nonempty subsets of a reflexive Banach space g can be imbedded in another Banach space B(E) in such a manner so that the measure of ...
Lyapunov-like Vector Functions Using Pointwise Degenerate Systems as Comparison Functions
(University of Texas at Arlington, 1974-04)
**Please note that the full text is embargoed** ABSTRACT: The use of Lyapunov-like vector functions is recognized as an important tool for estimating the behavior of a dynamical system. In applications, one needs to determine ...
Maximal and Minimal Solutions and Comparison Results for Differential Equations in Abstract Cones
(University of Texas at Arlington, 1974-04)
**Please note that the full text is embargoed** ABSTRACT: As is well known, an important technique in the theory of differential equations is concerned with estimating a function satisfying a differential inequality by ...
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 ...