David E. Stewart
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
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