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Oscillating kernels and arbitrary decays in viscoelasticity
Author(s) -
Tatar Nassereddine
Publication year - 2012
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201000053
Subject(s) - viscoelasticity , mathematics , kernel (algebra) , type (biology) , derivative (finance) , work (physics) , mathematical analysis , pure mathematics , physics , thermodynamics , ecology , biology , financial economics , economics
In this work we consider a viscoelastic problem with a kernel whose derivative may be positive on some subsets. Starting from a “generalized” necessary condition we show that it is in fact also sufficient to prove a decay of arbitrary type provided that the non‐decreasingness rate or/and zone of the kernel is small enough.