A SENSITIVITY ANALYSIS OF VOLTERRA INTEGRAL INCLUSIONS WITH APPLICATIONS TO OPTIMAL-CONTROL PROBLEMS

Authors
AIZICOVICI S PAPAGEORGIOU NS
Citation
S. Aizicovici et Ns. Papageorgiou, A SENSITIVITY ANALYSIS OF VOLTERRA INTEGRAL INCLUSIONS WITH APPLICATIONS TO OPTIMAL-CONTROL PROBLEMS, Journal of mathematical analysis and applications, 186(1), 1994, pp. 97-119
Citations number
19
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
Journal title
Journal of mathematical analysis and applications → ACNP
ISSN journal
0022247X
Volume
186
Issue
1
Year of publication
1994
Pages
97 - 119
Database
ISI
SICI code
0022-247X(1994)186:1<97:ASAOVI>2.0.ZU;2-K
Abstract
We consider a class of parametrized Volterra integral inclusions assoc iated to multivalued m-accretive operators in a Banach space. We show that the solution set depends continuously on the parameter, in a spec ified sense. The continuous dependence results are used to study the v ariational stability of distributed parameter optimal control problems . (C) 1994 Academic Press, Inc.