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Fractional index convolution complementarity problems
Journal article   Peer reviewed

Fractional index convolution complementarity problems

David E Stewart and Theodore J Wendt
Nonlinear analysis. Hybrid systems, Vol.1(1), pp.124-134
03/01/2007
DOI: 10.1016/j.nahs.2006.08.001

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Abstract

Convolution complementarity problems have the form: given a kernel function k and a function q, find a function u such that u(t) >= 0, (k * u)(t) + q (t) >= 0 for (almost) all t, and where integral(T)(0) u(t)(T)[(k * u)(t) + q(t)]dt = 0. A fractional index problem of this kind has k(t) similar to K-0 t(alpha-1) for t small, with 0 < alpha < 1. Such problems are shown to have unique solutions under mild conditions. (C) 2006 Elsevier Ltd. All rights reserved.
Automation & Control Systems Mathematics Mathematics, Applied Physical Sciences Science & Technology Technology

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