## Search

Now showing items 1-10 of 13

#### Monotone Method for Equations Describing Transport Phenomena in a Banach Space

(University of Texas at Arlington, 1981-06)

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 in [2,7] by utilizing monotone iterative method.
A ...

#### Comparison Results for Parabolic Differential Equations at Resonance

(University of Texas at Arlington, 1982-07)

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
and the development of the monotone method [1,2,3,4,5,9]. ...

#### A Class of Elliptic Partial Differential Equations with Exponential Nonlineraities

(University of Texas at Arlington, 1984)

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 the existence of at least a countable infinity of ...

#### Comparison, Existence, Uniqueness and Successive Approximations for the Dirichlet Problem of Elliptic Equations

(University of Texas at Arlington, 1979-10)

#### The Threshold Problem for Fitzhugh-Nagumo Equations

(University of Texas at Arlington, 1981-03)

#### Existence of Solutions of Boundary Value Problems for Nonlinear Second Order Systems in a Banach Space

(University of Texas at Arlington, 1977-03)

This paper is concerned with the existence of solutions of boundary value problems (BVP, for short) for nonlinear second order ordinary differential equations of the type
(1.1) [see pdf for notation]
(1.2) [see pdf for ...

#### Existence of Coupled Quasi-solutions of Systems of Nonlinear Elliptic Boundart Value Problems

(University of Texas at Arlington, 1983-06)

Systems of nonlinear elliptic boundary value problems arise in many applications such as multiple chemical reactions that take place in an isothermal or nonisothermal catalyst pellet and simple models of tubular chemical ...

#### Existence of Coupled Quasi-solutions of Systems of Nonlinear Reaction-diffusion Equations

(University of Texas at Arlington, 1983-10)

Systems of nonlinear parabolic initial boundary value problems arise in many applications such as epidemies, ecology, biochemistry, biology, chemical
and nuclear engineering. Constructive methods of proving existence ...

#### Linear Monotone Method for Nonlinear Boundary Value Problems in Banach Spaces

(University of Texas at Arlington, 1981-05)

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 method, which yields monotone sequences that converge to ...

#### Monotone Iterative Technique for Differential Equations in a Banach Space

(University of Texas at Arlington, 1981-02)

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]. Generally speaking of approximate
solutions of (1.1) consist ...