The paper deals with the optimal inspections and maintenance problem with costly information for a Markov process with positive discount factor. The associated dynamic programming equation is a quasi-variational inequality with first order differential terms. In this paper we study its different formulations: strong, visousity and evolutionary. The case of impulsive control of purely jump Markov processes is studied as a special case.
@article{104386, author = {Dariusz G\k atarek}, title = {A note on impulsive control of Feller processes with costly information}, journal = {Applications of Mathematics}, volume = {35}, year = {1990}, pages = {51-59}, zbl = {0699.60032}, mrnumber = {1039410}, language = {en}, url = {http://dml.mathdoc.fr/item/104386} }
Gątarek, Dariusz. A note on impulsive control of Feller processes with costly information. Applications of Mathematics, Tome 35 (1990) pp. 51-59. http://gdmltest.u-ga.fr/item/104386/
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