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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Invariance results for delay and Volterra equations in fractional order Sobolev spaces


Authors: F. Kappel and K. Kunisch
Journal: Trans. Amer. Math. Soc. 304 (1987), 1-51
MSC: Primary 45D05; Secondary 34K15, 45J05, 46E35
DOI: https://doi.org/10.1090/S0002-9947-1987-0906804-9
MathSciNet review: 906804
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Abstract: Invariance of the trajectories of infinite delay- and Volterra-type equations in fractional order Sobolev spaces are derived under minimal assumptions on the problem data. Properties of fractional order Sobolev spaces defined over intervals are summarized.


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DOI: https://doi.org/10.1090/S0002-9947-1987-0906804-9
Article copyright: © Copyright 1987 American Mathematical Society