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An alternative approach to integro‐differential equations
Author(s) -
Trostorff Sascha
Publication year - 2013
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201310277
Subject(s) - class (philosophy) , mathematics , differential equation , operator (biology) , order (exchange) , type (biology) , integral equation , mathematical analysis , computer science , chemistry , geology , economics , paleontology , biochemistry , finance , repressor , artificial intelligence , transcription factor , gene
A class of integro‐differential equations with operator‐valued integral kernels, including equations of neutral type is studied. We show that this class is covered by the framework of evolutionary equations and we derive sufficient conditions on the kernels within this framework in order to show well‐posedness. (© 2013 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)