Electronic Journal of Differential Equations
15th annual Conference of Applied Mathematics, Univ. of Central Oklahoma,
Electron. J. Diff. Eqns., Conf. 02, 1999, pp. 4760.
A one dimensional Hammerstein problem
Jun Hua & James L. Moseley
Abstract:
Nonlinear equations of the form
where L is a linear
operator on a function space and g maps u to the composition
function
arise
in the theory of spontaneous combustion. If L is
invertible, such an equation can be written as a Hammerstein equation,
u=B[u] where
. To investigate the importance of
the growth rate of g and the sign and magnitude of
on the
number of solutions of such problems, in this paper we consider the
onedimensional problem
where L(x)=ax.
Published November 24, 1999.
Subject Classification: 35P30.
Key words: Hammerstein problem, Nonlinear eigenvalue problem.
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Jun Hua
West Virginia University
Morgantown, West Virginia 265066310 USA 

James L. Moseley
West Virginia University
Morgantown, West Virginia 265066310 USA
email: moseley@math.wvu.edu
Telephone: 3042932011 
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