Nonuniqueness and fractional index convolution complementarity problems
Uniqueness of solutions of fractional index convolution complementarity problems (CCPs) has been shown for index $1+\alpha$ with $-1<\alpha\leq0$ under mild assumptions, but not for $0<\alpha<1$. Here a family of counterexamples is given showing that uniqueness generally fails for $0<...
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| Format: | Article |
| Language: | English |
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Texas State University
2014-10-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2014/226/abstr.html |
| Summary: | Uniqueness of solutions of fractional index convolution complementarity
problems (CCPs) has been shown for index $1+\alpha$ with $-1<\alpha\leq0$
under mild assumptions, but not for $0<\alpha<1$. Here a family of
counterexamples is given showing that uniqueness generally fails for
$0<\alpha<1$. 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. |
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| ISSN: | 1072-6691 |