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The Euler-Lagrange differential inclusion. (English) Zbl 0323.49021

MSC:
93B05 Controllability
49J45 Methods involving semicontinuity and convergence; relaxation
49K99 Optimality conditions
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[1] Clarke, F.H, Necessary conditions for nonsmooth problems in optimal control and the calculus of variations, () · Zbl 0612.49002
[2] Clarke, F.H, Necessary conditions for nonsmooth variational problems, (), 70-91
[3] Clarke, F.H, Generalized gradients and applications, Trans. amer. math. soc., 205, 247-262, (1975) · Zbl 0307.26012
[4] Rockafellar, R.T, Convex analysis, (1970), Princeton Press Princeton, NJ · Zbl 0229.90020
[5] Rockafellar, R.T, Conjugate convex functions in optimal control and the calculus of variations, J. math. anal. appl., 32, 174-222, (1970) · Zbl 0218.49004
[6] Rockafellar, R.T, Existence and duality theorems for convex problems of Bolza, Trans. amer. math. soc., 159, 1-39, (1971) · Zbl 0255.49007
[7] Rockafellar, R.T, Existence theorems for general control problems of Bolza and Lagrange, Advances in math., 15, 312-333, (1975) · Zbl 0319.49001
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