Discrete Dynamics in Nature and Society

Discrete Dynamics in Nature and Society / 2004 / Article
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In memory of Ilya Prigogine

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Volume 2004 |Article ID 978693 | https://doi.org/10.1155/S1026022604401022

Yuri B. Melnikov, "Spectral analysis for a class of integral-difference operators: known facts, new results, and open problems", Discrete Dynamics in Nature and Society, vol. 2004, Article ID 978693, 29 pages, 2004. https://doi.org/10.1155/S1026022604401022

Spectral analysis for a class of integral-difference operators: known facts, new results, and open problems

Received05 Jan 2004

Abstract

We present state of the art, the new results, and discuss open problems in the field of spectral analysis for a class of integral-difference operators appearing in some nonequilibrium statistical physics models as collision operators. The author dedicates this work to the memory of Professor Ilya Prigogine, who initiated this activity in 1997 and whose interesting and most enlightening advices had gudided the author during all these years.

Copyright © 2004 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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