Abstract
The Euler equation. A necessary condition for the solution of (16.1). An alternative form of the Euler equation. The Legendre condition. A necessary condition for the solution of (16.1). Sufficient conditions for the solution of (16.1). Transversality condition. Adding condition (16.5) gives sufficient conditions.
Keywords
- Maximum Principle
- Euler Equation
- Variational Problem
- Terminal Condition
- Transversality Condition
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Kamien and Schwartz (1991), Léeonard and Long (1992), Beavis and Dobbs (1990), Intriligator (1971), and Sydsæter et al. (2005). For more comprehensive collection of results, see e.g. Seierstad and Sydsæter (1987) or Feichtinger and Hartl (1986) (in German).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Sydsæter, K., Strøm, A., Berck, P. (2010). Calculus of variations and optimal control theory. In: Economists’ Mathematical Manual. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-28518-2_16
Download citation
DOI: https://doi.org/10.1007/978-3-540-28518-2_16
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-26088-2
Online ISBN: 978-3-540-28518-2
eBook Packages: Business and EconomicsEconomics and Finance (R0)