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Now showing items 41-50 of 65
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 ...
Periodic Solutions of Nonlinear Boundary Value Problems
(University of Texas at Arlington, 1980-04)
**Please note that the full text is embargoed** ABSTRACT: One of the well known techniques in the theory of nonlinear boundary value problems (BVP) is the method of differential inequalities or the method of upper and lower ...
Sobolev Type Differential Equations
(University of Texas at Arlington, 1977-06)
**Please note that the full text is embargoed** ABSTRACT:An imbedding method for solving linear Fredholm integral equations was introduced by Sobolev [3] which involves the solution of the following differential equation ...
Systems by the Method of Quasisolutions
(University of Texas at Arlington, 1981-01)
**Please note that the full text is embargoed** ABSTRACT: Recently [10] the method of lower and upper solutions has been
extended to systems of reaction diffusion equations which has
become very useful in dealing with ...
Quasi-Solutions and Monotone Method for Systems of Nonlinear Boundary Value Problems
(University of Texas at Arlington, 1980-02)
**Please note that the full text is embargoed** ABSTRACT: In the study of comparison theorems, existence of extremal solutions and monotone iterative techniques for initial and boundary value problems of ordinary differential ...
Quasi-Solutions, Vector Lyapunov Functions and Monotone Method
(University of Texas at Arlington, 1980-02)
**Please note that the full text is embargoed** ABSTRACT: It is now well known that the method of vector Lyapunov functions provides an effective tool to investigate the properties of large scale
interconnected dynamical ...
Quasi-Solutions and Their Role in the Qualitative Theory of Differential Equations
(University of Texas at Arlington, 1979-08)
**Please note that the full text is embargoed** ABSTRACT: In the study of comparison theorems and extremal solutions for systems of ordinary differential equations [5], one usually imposes a condition on the right hand ...
General Uniqueness Criteria for Ordinary Differential Equations
(University of Texas at Arlington, 1982-02)
**Please note that the full text is embargoed** ABSTRACT: This paper generalizes various uniqueness results and offers very
general uniqueness criteria which include different types of results considered so far.
Practical Stability and Lyapunov Functions
(University of Texas at Arlington, 1979-10)
**Please note that the full text is embargoed** ABSTRACT: The notion of "practical stability" was discussed in the monograph by LaSalle and Lefschetz [6] in which they point out that stability investigations
may not ...
Existence and Uniqueness of Solutions of Delay Differential Equations on a Closed Subset of a Banach Space
(University of Texas at Arlington, 1977-05)
**Please note that the full text is embargoed** ABSTRACT: 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 ...