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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. ...
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 ...
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 ...
Existence and Asymptotic Behavior of Reaction-Diffusion Systems Via Coupled Quasi-Solutions
(University of Texas at Arlington, 1980-08)
**Please note that the full text is embargoed** ABSTRACT: In the study of comparison theorems, existence of extremal solutions and monotone iterative techniques for differential systems a property called quasimonotone ...