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The Kuhn-Tucker conditions in Banach space with an application to control theory. (English) Zbl 0158.10102


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[1] Hadley, G., Nonlinear and Dynamic Programming (1964), Addison-Wesley: Addison-Wesley Reading Mass, Chapter 6 · Zbl 0179.24601
[2] Arrow, K. J.; Hurwicz, L.; Uzawa, Constraint qualifications in maximization problems, Naval Res. Log. Quart., 8, 175-191 (1961) · Zbl 0129.34103
[3] Balakrishnan, A. V., Optimal control problems in Banach spaces, SIAM J., Ser. A: Control, 3, 152-180 (1965) · Zbl 0178.44601
[4] Dubovickii, A. Ja; Miljutin, A. A., Extremum problems with constraints, Appl. Math. Mech. (1963)
[5] To be published in “Nonlinear Programming—A Course” (J. Abadie, ed.), North Holland Publ.; To be published in “Nonlinear Programming—A Course” (J. Abadie, ed.), North Holland Publ. · Zbl 0183.22702
[6] Neustadt, L. W., Optimal control problems as extremal problems in a Banach space, Univ. S. Calif. E. E. Rept. 133 (May 1965)
[7] Chang, S. S.L, An extension of Ascoli’s theory and its applications to the theory of optimal control, (New York Univ., Col. of Eng., AFOSR Rept. No. 1238 (August, 1961)) · Zbl 0138.33902
[8] Pontryagin, L. S.; Boltyanskii, V. G.; Gamkrelidze, R. V.; Mischenko, E. F., The mathematical Theory of Optimal Processes (1962), Wiley (Interscience): Wiley (Interscience) New York · Zbl 0102.32001
[9] Dunford, N.; Schwartz, J. T., Linear Operators, Part I: General Theory (1958), Wiley (Interscience): Wiley (Interscience) New York
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