Abstract
Publisher Summary This chapter focuses on degree theoretic methods in optimal control and presents some problems of optimal control and presents an analysis of a coincidence degree for (L, N). Though the notion of coincidence degree has been extended to multivalued functions by Pruszko and Tarafdar and Suat Khoh Teo, the ill-definition ∂l creates some difficulties because it is usually required that N(x, p) be nonempty for all (x, p) in some open bounded set. However, the definition of coincidence degree may be extended to this case by approximating l by a sequence of well-behaved convex functions {ln}. The chapter also focuses on the existence theorem.
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