Abstract
Continuing the study by the first author, we construct fundamental operator-functions for some classes of degenerate differential operators (both ordinary and partial) and difference-differential operators in Banach spaces which have a Noether operator at the leading (time) derivative. To this end, we use the method of Jordan chains of Noether operators and the methods of distribution theory in Banach spaces.
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Original Russian Text Copyright © 2005 Falaleev M. V. and Grazhdantseva E. Yu.
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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 46, No. 6, pp. 1393–1406, November–December, 2005.
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Falaleev, M.V., Grazhdantseva, E.Y. Fundamental Operator-Functions of Degenerate Differential and Difference-Differential Operators in Banach Spaces Which Have a Noether Operator in the Principal Part. Sib Math J 46, 1123–1134 (2005). https://doi.org/10.1007/s11202-005-0107-x
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DOI: https://doi.org/10.1007/s11202-005-0107-x