David E. Stewart
Abstract:
Uniqueness of solutions of fractional index convolution complementarity
problems (CCPs) has been shown for index
with
under mild assumptions, but not for
.
Here a family of
counterexamples is given showing that uniqueness generally fails for
.
These results show that uniqueness is expected to fail
for convolution complementarity problems of the type that arise in
connection with solutions of impact problems for Kelvin-Voigt viscoelastic
rods.
Submitted June 4, 2014. Published October 22, 2014.
Math Subject Classifications: 90C33, 74M20, 34A08.
Key Words: Convolution complementarity problem; mechanical impact;
viscoelasticity; uniqueness.
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David E. Stewart Department of Mathematics, University of Iowa Iowa City, IA 52242, USA email: david-e-stewart@uiowa.edu |
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