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Reaction-Diffusion Inequalities in Cones
(University of Texas at Arlington, 1978-02)
**Please note that the full text is embargoed** ABSTRACT: Recently there has been a growing interest in the study of nonlinear reaction-diffusion equations [2,3,4,7] because of the fact examples of
such equations occur ...
Existence and Comparison Results for a Class of Volterra Integral Equations of Sobolev Type
(University of Texas at Arlington, 1978-09)
**Please note that the full text is embargoed** ABSTRACT: Recently [2] a class of new differential equations called Sobolev type differential equations was introduced and Picard type existence theorem for such equations ...
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 ...
On Existence of Extremal Solutions of Differential Equations in Banach Spaces
(University of Texas at Arlington, 1978-06)
**Please note that the full text is embargoed** ABSTRACT: Let X be a real Banach space, [see pdf for notation] a cone, [see pdf for notation] and [see pdf for notation] continuous. We look for conditions on X, K and f such ...
A Technique in Stability Theory of Delay-Differential Equations
(University of Texas at Arlington, 1978-04)
**Please note that the full text is embargoed** ABSTRACT: In the study of stability theory for delay-differential equations using Lyapunov functions and the theory of differential inequalities, it becomes necessary to ...