Journal article
NONUNIQUENESS AND FRACTIONAL INDEX CONVOLUTION COMPLEMENTARITY PROBLEMS
Electronic journal of differential equations, Vol.2014(226), pp.1-9
10/22/2014
Abstract
Uniqueness of solutions of fractional index convolution complementarity problems (CCPs) has been shown for index 1 + alpha with -1 < alpha <= 0 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.
Details
- Title: Subtitle
- NONUNIQUENESS AND FRACTIONAL INDEX CONVOLUTION COMPLEMENTARITY PROBLEMS
- Creators
- David E Stewart
- Resource Type
- Journal article
- Publication Details
- Electronic journal of differential equations, Vol.2014(226), pp.1-9
- Publisher
- TEXAS STATE UNIV
- ISSN
- 1072-6691
- eISSN
- 1072-6691
- Number of pages
- 9
- Language
- English
- Date published
- 10/22/2014
- Academic Unit
- Mathematics
- Record Identifier
- 9984240773802771
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