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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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 |
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doaj-62410a21b90b4500acf47d3a3a3a6bd92020-11-25T00:53:06ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912014-10-012014226,19Nonuniqueness and fractional index convolution complementarity problemsDavid E. Stewart0 Univ. of Iowa, Iowa City, IA, USA 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.http://ejde.math.txstate.edu/Volumes/2014/226/abstr.htmlConvolution complementarity problemmechanical impactviscoelasticityuniqueness |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
David E. Stewart |
| spellingShingle |
David E. Stewart Nonuniqueness and fractional index convolution complementarity problems Electronic Journal of Differential Equations Convolution complementarity problem mechanical impact viscoelasticity uniqueness |
| author_facet |
David E. Stewart |
| author_sort |
David E. Stewart |
| title |
Nonuniqueness and fractional index convolution complementarity problems |
| title_short |
Nonuniqueness and fractional index convolution complementarity problems |
| title_full |
Nonuniqueness and fractional index convolution complementarity problems |
| title_fullStr |
Nonuniqueness and fractional index convolution complementarity problems |
| title_full_unstemmed |
Nonuniqueness and fractional index convolution complementarity problems |
| title_sort |
nonuniqueness and fractional index convolution complementarity problems |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2014-10-01 |
| description |
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. |
| topic |
Convolution complementarity problem mechanical impact viscoelasticity uniqueness |
| url |
http://ejde.math.txstate.edu/Volumes/2014/226/abstr.html |
| work_keys_str_mv |
AT davidestewart nonuniquenessandfractionalindexconvolutioncomplementarityproblems |
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