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Nonautonomous Problems

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Structure of Solutions of Variational Problems

Part of the book series: SpringerBriefs in Optimization ((BRIEFSOPTI))

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Abstract

In this chapter we consider the question how to verify if an integrand possesses the turnpike property and a trajectory X is its turnpike. We introduce two properties (P1) and (P2) and show that the integrand has the turnpike property if and only if it possesses properties (P1) and (P2). The property (P2) means that all approximate solutions of the corresponding infinite horizon variational problem have the same asymptotic behavior while the property (P1) means that any approximate solution on a sufficiently large interval is close to the turnpike at some point.

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Authors and Affiliations

  1. Department of Mathematics, The Technion-Israel Institute of Technology, Haifa, Israel

    Alexander J. Zaslavski

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  1. Alexander J. Zaslavski
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© 2013 Alexander J. Zaslavski

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Zaslavski, A.J. (2013). Nonautonomous Problems. In: Structure of Solutions of Variational Problems. SpringerBriefs in Optimization. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6387-0_2

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