The essential spectral radius of Volterra operators and an application to Volterra-Hammerstein functional inclusions

The essential spectral radius of Volterra operators and an application to Volterra-Hammerstein... It is shown that for abstract linear Volterra operators the spectral radius is the essential spectral radius. The result is applied to prove the existence of a global solution of a Volterra-Hammerstein functional inclusion when the nonlinearity has at most affine growth. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

The essential spectral radius of Volterra operators and an application to Volterra-Hammerstein functional inclusions

Positivity , Volume 13 (1) – Mar 12, 2008
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Publisher
Birkhäuser-Verlag
Copyright
Copyright © 2008 by Birkhäuser Verlag Basel/Switzerland
Subject
Mathematics; Fourier Analysis; Operator Theory; Potential Theory; Calculus of Variations and Optimal Control; Optimization; Econometrics
ISSN
1385-1292
eISSN
1572-9281
D.O.I.
10.1007/s11117-008-2158-2
Publisher site
See Article on Publisher Site

Abstract

It is shown that for abstract linear Volterra operators the spectral radius is the essential spectral radius. The result is applied to prove the existence of a global solution of a Volterra-Hammerstein functional inclusion when the nonlinearity has at most affine growth.

Journal

PositivitySpringer Journals

Published: Mar 12, 2008

References

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