most citedHartman-Stampacchia theorem, Gale-Nikaido-Debreu lemma, and Brouwer and Kakutani fixed-point theorems

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math.OC2026

A note on first-order and transversality conditions in infinite-horizon continuous-time optimal control models

Stefano Bosi, David Desmarchelier, Ngoc-Sang Pham

We provide simple and easily verifiable necessary and sufficient conditions for infinite-horizon continuous-time optimal control problems. Under standard concavity and integrabilit…