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Book Information

Author(s): Vladimir M. Tikhomirov
Title: Fundamental principles of the theory of extremal problems
Additional book information: translated by Bernd Luderer. John Wiley and Sons, Chichester, New York, Brisbane, Toronto and Singapore, 1986, 136 pp., $27.00. ISBN 0-471-905631

[ATF] V. M. Alekseev, V. M. Tikhomirov, and S. V. Fomin, Optimal control, "Nauka", Moscow, 1979. (Russian) MR 566022; [BP] V. Barbu and Th. Precupanu, Convexity and optimization in Banach spaces, Sijthoff & Nordhoff, Bucuresti, 1978. MR 513634; [Ce] Lamberto Cesari, Optimization-Theory and applications, Springer-Verlag, New York, 1983. MR 688142; [Cl] Frank Clarke, Optimization and nonsmooth analysis, John Wiley & Sons, New York, 1983. MR 709590; [Ew] George M. Ewing, Calculus of variations with applications, W. W. Norton & Co., New York, 1969; reprinted by Dover Publications, New York, 1985. MR 242032; [ET] Ivar Ekeland and Roger Ternam, Convex analysis and variational problems, North-Holland, Amsterdam, 1976.; [IT] A. D. Ioffe and V. M. Tikhomirov, Theory of extremal problems, "Nauka", Moscow, 1974 (Russian); English transl.: North-Holland, Amsterdam, 1979. MR 410502; [Ro] R. Tyrall Rockafellar, Convex analysis, Princeton Univ. Press, Princeton, N. J., 1969. MR 1451876; [Sm] Peter Smith, Convexity methods in variational calculus, Research Studies Press Ltd., 1985 (marketed by John Wiley & Sons, New York). MR 782676; [Tr] John L. Troutman, Variational calculus with elementary convexity, Springer-Verlag, New York, 1983. (Supplement: Optimal control with elementary convexity (1986) available by request through publisher.) MR 697723; [Ze] Eberhard Zeidler, Nonlinear functional analysis with applications. III, Springer-Verlag, New York, 1983.
1.: Lamberto Cesari (ed.), Contributions to modern calculus of variations, Longman Scientific & Technical (copublished by John Wiley & Sons, New York, 1987). MR 894068
2.: F. H. Clarke and R. B. Vinter, Existence and regularity in the small in the calculus of variations, J. Differential Equations 59 (1985), 336-354. MR 807852
3.: F. H. Clarke and P. D. Löwen, An intermediate existence theory in the calculus of variations (to appear).
4.: V. M. Zeidan, Sufficient conditions for the generalized problem of Bolza, Trans. Amer. Math. Soc. 275 (1983), 561-586. MR 682718

Review Information:
Journal: Bull. Amer. Math. Soc. 18 (1988), 220-224.
DOI: 10.1090/S0273-0979-1988-15656-X
PII: S 0273-0979(1988)15656-X

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ISSN 1088-9485(e) ISSN 0273-0979(p)

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