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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 ...
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 ...
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 ...
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 ...
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 ...