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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Existence theorems for weak and usual optimal solutions in Lagrange problems with unilateral constraints. I
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by Lamberto Cesari PDF
Trans. Amer. Math. Soc. 124 (1966), 369-412 Request permission
References
  • Lamberto Cesari, Un teorema di esistenza in problemi di controlli ottimi, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (3) 19 (1965), 35–78 (Italian). MR 192936
  • A. F. Filippov, On certain questions in the theory of optimal control, J. SIAM Control Ser. A 1 (1962), 76–84. MR 0149985
  • R. V. Gamkrelidze, On sliding optimal states, Dokl. Akad. Nauk SSSR 143 (1962), 1243–1245 (Russian). MR 0137904
  • E. B. Lee and L. Markus, Optimal control for nonlinear processes, Arch. Rational Mech. Anal. 8 (1961), 36–58. MR 128571, DOI 10.1007/BF00277429
  • M. Nagumo, Über die gleichmässige Summierbarkeit und ihre Anwendung auf ein Variations-problem, Japan. J. Math. 6 (1929) 178-182. L. S. Pontryagin, Optimal control processes, Uspehi Mat. Nauk 14 (1959), 3-20; Amer. Math. Soc. Transl. (2) 18 (1961), 321-339.
  • L. S. Pontrjagin, V. G. Boltjanskiĭ, R. V. Gamkrelidze, and E. F. Miščenko, Matematicheskaya teoriya optimal′nykh protsessov, Gosudarstv. Izdat. Fiz.-Mat. Lit., Moscow, 1961 (Russian). MR 0166036
  • Emilio Roxin, The existence of optimal controls, Michigan Math. J. 9 (1962), 109–119. MR 136844
  • Leonida Tonelli, Su gli integrali del calcolo delle variazioni in forma ordinaria, Ann. Scuola Norm. Super. Pisa Cl. Sci. (2) 3 (1934), no. 3-4, 401–450 (Italian). MR 1556738
  • L. Turner, The direct method in the calculus of variations, Ph.D. Thesis, PurdueUniv., Lafayette, Indiana, 1957.
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Additional Information
  • © Copyright 1966 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 124 (1966), 369-412
  • MSC: Primary 49.00
  • DOI: https://doi.org/10.1090/S0002-9947-1966-0203542-1
  • MathSciNet review: 0203542