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Application of a result of Ioffe/Tichomirov to multidimensional control problems of Dieudonné-Rashevsky type
Based on a theorem of Ioffe/Tichomirov, an $\varepsilon$-maximum principle for nonconvex multidimensional control problems is proved. In application to Dieudonn\'e-Rashevsky type problems, the $\varepsilon$-optimality conditions known before are reproduced, and an additional complementarity condition is observed.