Abstract
We establish rigorously several pointwise or asymptotic firstorder necessary conditions for infinite-horizon variational problems in general form, in the framework of continuous time. We obtain several new results, and we extend to general differentiable Lagrangians\(L(t,x,\dot x)\) some results known only in special cases. To realize this aim, we justify two different ways to associate a family of finite-horizon problems to an infinite-horizon problem.
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Communicated by W. Stadler
The authors thank an anonymous referee for providing important historical references
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Blot, J., Michel, P. First-order necessary conditions for infinite-horizon variational problems. J Optim Theory Appl 88, 339–364 (1996). https://doi.org/10.1007/BF02192175
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DOI: https://doi.org/10.1007/BF02192175