Electronic Resource
Springer
Journal of optimization theory and applications
3 (1969), S. 2-33
ISSN:
1573-2878
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract We apply the Caratheodory method to variational problems posed in a Banach space. A treatment of the problem of Lagrange leads to the necessary conditions for constrained optimal control problems. Specialization of the space leads to recovery of the usual necessary conditions and extension of the necessary conditions to a class of problems for systems with distributed parameters. The spaces are not restricted to be reflexive, thus permitting consideration of control problems in queuing theory and transport theory. An application to certain queuing processes completes the paper.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00929539
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