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On abnormal extremals for Lagrange variational problems. (English) Zbl 0826.49012
Summary: Abnormal extremals for the problem of relative extremum and the Lagrange problem of the calculus of variations are studied. Legendre-Jacobi-type necessary/sufficient minimality conditions for abnormal extremum are derived and Morse-type index and nullity theorems for abnormal extremals of the Lagrange problem are established.
[Full electronic manuscript (published January 1, 1995) = 32 pp, 350,492 bytes. Retrieval Code: 99949].

MSC:
49K15 Optimality conditions for problems involving ordinary differential equations
90C30 Nonlinear programming
93B05 Controllability
93B29 Differential-geometric methods in systems theory (MSC2000)
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