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Fractional index convolution complementarity problems

delete2007-03-01
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PRE
AI
D
David E. Stewart *
T
Theodore J. Wendt
DOI:10.1016/j.nahs.2006.08.001delete
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Abstract

Abstract

En 中文
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.

Journal

N
Nonlinear Analysis and Hybrid Systems
IF:
4.1
Papers:
1.4K
Citations:
3.1K

Organization

U
University of Iowa
Scholars:
2.8W
Papers: 2.3W
Citations: 600