Field theories in the modern calculus of variations
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- by Andrzej Nowakowski PDF
- Trans. Amer. Math. Soc. 309 (1988), 725-752 Request permission
Abstract:
Two methods of construction of fields of extremals ("geodesic coverings") in the generalized problem of Bolza are given and, as a consequence, sufficient conditions for optimality in a form similar to Weierstrass’ are formulated. The first field theory is an extension of Young’s field theory— "concourse of flights" for our problem; the other describes a nonclassical treatment of field theory which allows one to reject the "self-multiplier restriction".References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 309 (1988), 725-752
- MSC: Primary 49B36; Secondary 49F22
- DOI: https://doi.org/10.1090/S0002-9947-1988-0961610-5
- MathSciNet review: 961610