Abstract
The question considered is whether the optimal control problem for systems described by operator equations of the Hammerstein type in a Banach space is well-posed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature cited
L. V. Wolfersdorf, “Optimal control of a class of processes described by general integral equations of Hammerstein-type,” Math. Nachr.,71, 115–141 (1976).
L. V. Wolfersdorf, “Optimal problems by equations with closed and normally resolvable operators,” Math. Nachr.,65, 331–333 (1975).
Joshi Mohan, “On the existence of optimal control in Banach spaces,” Bull. Austral. Math. Soc.,27, No. 3, 395–401 (1983).
Nguen Byong, “On a certain optimization problem,” Ukr. Mat. Zh.,39, No. 6, 793–796 (1987).
M. M. Vainberg, The Variational Method and the Method of Monotone Operators [in Russian], Nauka, Moscow (1972).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Voi. 42, no. 4 pp. 539–541, April, 1990.
Rights and permissions
About this article
Cite this article
Byong, N. Optimal control of a class of nonlinear equations in Banach space. Ukr Math J 42, 477–479 (1990). https://doi.org/10.1007/BF01071338
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01071338