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On the existence of optimal controls in Banach spaces

Published online by Cambridge University Press:  17 April 2009

Mohan Joshi
Mohan Joshi
Affiliation:
Mathematics Group, BITS, Pilani 333031, India.
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Abstract

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We prove the existence of an optimal control in Banach spaces for a system characterized by Hammerstein operator equations.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 27 , Issue 3 , June 1983 , pp. 395 - 401
Copyright
Copyright © Australian Mathematical Society 1983

References

[1]Berkovitz, Leonard D., “Lower semicontinuity of integral functionals”, Trans. Amer. Math. Soc. 192 (1974), 51–57.Google Scholar
[2]Browder, Felix E., “Nonlinear functional analysis and nonlinear integral equations of Hammerstein and Urysohn type”, Contributions to nonlinear functional analysis, 425–500 (Academic Press, New York, London, 1971).Google Scholar
[3]Okikiolu, G.O., Aspects of the theory of bounded integral operators in Lp-spaces (Academic Press, London, New York, 1971).Google Scholar
[4]Vidyasagar, M., “On the existence of optimal controls”, J. Optim. Theory Appl. 17 (1975), 273–278.Google Scholar