Abstract

This chapter discusses necessary conditions without differentiability in unilateral control problems. Necessary conditions are presented in the chapter without differentiability assumptions and results generalizing those to unilateral control problems defined by ordinary differential equations are also presented. These unilateral problems differ from those investigated by Rockafellar by the absence of differentiability or convexity assumptions. The results yield a sequence of approximating unilateral problems of a type for which necessary conditions are presented in the chapter.

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