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19th Annual Great Plains Operator Theory Symposium
May 26-30, 1999
Iowa State University
Ames, IA, USA

Organizers
Justin Peters, Yiu Tung Poon, Bruce Wagner

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Multiplicative and Additive Perturbations of Resolvent Families
by
Sen-Yen Shaw
National Central University
Coauthors: Jung-Chan Chang

Let A be the generator of a resolvent family for a Volterra equation. We introduce two multiplicative perturbation theorems which give conditions on a bounded linear operator B in order that both A(I+B) and (I+B)A also are generators of resolvent families. From these two theorems, we can deduce Desch-Schappacher-type multiplicative perturbation theorems and some additive perturbation theorems for first and second order Cauchy problems.

Date received: April 22, 1999

Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cacw-28.