Second-Order Necessary Conditions for the Infinite-Horizon Variational Problems
Abstract
We give new proofs of first-order and second-order necessary conditions for the infinite-horizon variational problems in the framework of the continuous time. We study the notion of conjugate points and we build new second-order necessary conditions. We also translate all of our results into the Hamiltonian formalism. Moreover, we apply these general results to the special Lagrangians in the form .

