Jun Hua & James L. Moseley
Abstract:
Nonlinear equations of the form
where
is a linear operator on a function space and
maps
to the composition function
arise in the theory of spontaneous combustion. We assume
is invertible so that such an equation can be written as a Hammerstein
equation,
where
.
To investigate the importance of the growth rate of
and the sign and magnitude of
on the number of solutions of such problems, in a previous paper we
considered the one-dimensional problem
where
.
This paper extends these results to two dimensions for the linear case.
Published July 20, 2001.
Subject lassfications: 47H30.
Key words: Hammerstein problem, nonlinear differential equation.
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Jun Hua West Virginia University Morgantown, West Virginia 26506-6310 USA | |
James L. Moseley West Virginia University Morgantown, West Virginia 26506-6310 USA e-mail: moseley@math.wvu.edu Telephone: 304-293-2011 |
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