16th Conference on Applied Mathematics, Univ. of Central Oklahoma,
Electron. J. Diff. Eqns., Conf. 07, 2001, pp. 8997.
Properties of the solution map for a first order linear problem
James L. Moseley
Abstract:
We are interested in establishing properties of the general mathematical
model
for the dynamical system defined by the (possibly nonlinear) operator
with state space
.
For one state variable where
this may be written as
,
.
This paper establishes some mapping properties for the operator
with
where
and
is linear. The conditions for the onetoone property of the solution
map as a function of
appear to be new or at least undocumented. This property is
needed in the development of a solution technique for a nonlinear model
for the agglomeration of point particles in a confined space (reactor).
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James L. Moseley
West Virginia University
Morgantown, West Virginia 265066310 USA
email: moseley@math.wvu.edu
Telephone: 3042932011 
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