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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 ...
Monotone Methods for Nonlinear Boundary Value Problems in Banach Spaces
(University of Texas at Arlington, 1977-12)
**Please note that the full text is embargoed** ABSTRACT: Monotone methods have been used to generate multiple solutions of nonlinear boundary value problems for both ordinary and partial differential equations. Keller ...
Remarks on First and Second Order Periodic Boundary Value Problems
(University of Texas at Arlington, 1982-05)
**Please note that the full text is embargoed** ABSTRACT: We consider the first and second order periodic boundary value problems (PBVP for brevity)[see pdf for notation] and [see pdf for notation]and obtain
the existence ...
Existence of Coupled Quasi-solutions of Systems of Nonlinear Elliptic Boundart Value Problems
(University of Texas at Arlington, 1983-06)
**Please note that the full text is embargoed** ABSTRACT: Systems of nonlinear elliptic boundary value problems arise in many applications such as multiple chemical reactions that take place in an isothermal or nonisothermal ...
Fixed Point Theorems on Closed Sets Through Abstract Cones
(University of Texas at Arlington, 1976-03)
**Please note that the full text is embargoed** ABSTRACT: 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 ...
Existence of Periodic Solutions of Nonlinear Boundary Value Problems and the Method of Upper and Lower Solutions
(University of Texas at Arlington, 1981-11)
**Please note that the full text is embargoed** ABSTRACT: We study the existence of periodic solutions of second order nonlinear differential equations by combining the method of upper and lower solutions and the method ...
Stochastic Differential Inequalities of Ito Type
(University of Texas at Arlington, 1978-06)
**Please note that the full text is embargoed** ABSTRACT: It is well known [3] that the method of differential inequalities plays an important role in the qualitative theory of differential equations. It is therefore natural ...
Competitive-Cooperative Processes and Stability of Diffusion Systems
(University of Texas at Arlington, 1978)
**Please note that the full text is embargoed** ABSTRACT: Very recently, the stability analysis of deterministic [12], random [12,13] competitive-cooperative process has been made in a systematic and unified way. It is ...
Existence and Comparison Theorems for Differential Equations in Banach Spaces
(University of Texas at Arlington, 1978-07)
**Please note that the full text is embargoed** ABSTRACT: 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 ...
Parabolic Differential Inequalities in Cones
(University of Texas at Arlington, 1978-03)
**Please note that the full text is embargoed** ABSTRACT: In this paper we investigate the theory of parabolic differential inequalities in arbitrary cones. After discussing the fundamental results concerning parabolic ...