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 one-to-one 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 26506-6310 USA e-mail: moseley@math.wvu.edu Telephone: 304-293-2011 |
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