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Exponential stability of a second‐order integro‐differential equation with delay
Author(s) -
Trostorff Sascha
Publication year - 2015
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201510339
Subject(s) - integro differential equation , differential equation , mathematics , exponential stability , stability (learning theory) , exponential function , order (exchange) , exponential growth , first order partial differential equation , mathematical analysis , physics , computer science , nonlinear system , economics , finance , quantum mechanics , machine learning
We consider a second order integro‐differential equation with time‐delay and show that this equation can be written as an evolutionary equation. Within the framework of evolutionary equations we show the well‐posedness and the exponential stability of the equation. (© 2015 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)