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Monotone Iterative Technique for Differential Equations in a Banach Space
(University of Texas at Arlington, 1981-02)
**Please note that the full text is embargoed** ABSTRACT: Let E be a real Banach space with norm [see pdf for notation].
Consider the initial value problem (1.1) [see pdf for notation],
where [see pdf for notation]. ...
Existence of Coupled Quasi-solutions of Systems of Nonlinear Reaction-diffusion Equations
(University of Texas at Arlington, 1983-10)
**Please note that the full text is embargoed** ABSTRACT: Systems of nonlinear parabolic initial boundary value problems arise in many applications such as epidemies, ecology, biochemistry, biology, chemical
and nuclear ...
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 ...
Comparison Results for Parabolic Differential Equations at Resonance
(University of Texas at Arlington, 1982-07)
**Please note that the full text is embargoed** ABSTRACT: It is very well known that comparison principles for initial and boundary value problems for nonresonance cases have been very much used in the existence of solutions
...
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 ...
A Class of Elliptic Partial Differential Equations with Exponential Nonlineraities
(University of Texas at Arlington, 1984)
**Please note that the full text is embargoed** ABSTRACT: This is the second of a series of papers devoted to systems of ordinary
and partial differential equations with exponential nonlinearities [20],
in which we prove ...
Existence and Regularity Theory for Isoperimetric Variational Problems on Orlicz-Sobolev Spaces: A Review
(University of Texas at Arlington, 1984-10)
**Please note that the full text is embargoed** ABSTRACT: In this review article, we outline and discuss our most recent results regarding the existence and the regularity theory for a class of strongly nonlinear eigenvalue ...
Linear Monotone Method for Nonlinear Boundary Value Problems in Banach Spaces
(University of Texas at Arlington, 1981-05)
**Please note that the full text is embargoed** ABSTRACT: One of the most useful techniques in proving the existence of multiple solutions of nonlinear boundary value problems (BVP for short) is the
monotone iterative ...
Monotone Method for Equations Describing Transport Phenomena in a Banach Space
(University of Texas at Arlington, 1981-06)
**Please note that the full text is embargoed** ABSTRACT: Existence of extremal solutions of initial and boundary value problems (B.V.P. for short) of differential equations in a Banach
space has been recently considered ...
The Threshold Problem for Fitzhugh-Nagumo Equations
(University of Texas at Arlington, 1981-03)
**Please note that the full text is embargoed**