Abstract
In this chapter we introduce and discuss turnpike properties and describe the structure of the book.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Anderson, B. D. O., & Moore, J. B. (1971). Linear optimal control. Englewood Cliffs: Prentice-Hall.
Arkin, V. I., & Evstigneev, I. V. (1987). Stochastic models of control and economic dynamics. London: Academic.
Aseev, S. M., & Kryazhimskiy, A. V. (2004). SIAM Journal of Control and Optimization, 43, 1094–1119.
Aseev, S. M., & Veliov, V. M. (2012). Dynamics of Continuous, Discrete and Impulsive Systems. Series B: Applications and Algorithms, 19, 43–63.
Aubin, J. P., & Ekeland, I. (1984). Applied nonlinear analysis. New York: Wiley Interscience.
Aubry, S., & Le Daeron, P. Y. (1983). Physica D, 8, 381–422.
Baumeister, J., Leitao, A., & Silva, G. N. (2007). Systems and Control Letters, 56, 188–196.
Berkovitz, L. D. (1974). Transactions of the American Mathematical Society, 192, 51–57.
Blot, J., & Cartigny, P. (2000). Journal of Optimization Theory and Applications, 106, 411–419.
Blot, J., & Hayek, N. (2000). ESAIM: Control, Optimisation and Calculus of Variations, 5, 279–292.
Blot, J., & Michel, P. (2003). Applied Mathematics Letters, 16, 71–78.
Carlson, D. A., Haurie, A., & Leizarowitz, A. (1991). Infinite horizon optimal control. Berlin: Springer.
Cartigny, P., & Michel, P. (2003). Automatica Journal of IFAC, 39, 1007–1010.
Coleman, B. D., Marcus, M., & Mizel, V. J. (1992). Archive for Rational Mechanics and Analysis, 117, 321–347.
Evstigneev, I. V., & Flam, S. D. (1998). Set-Valued Analysis, 6, 61–81.
Gaitsgory, V., Rossomakhine, S., & Thatcher, N. (2012). Dynamics of Continuous, Discrete and Impulsive Systems. Series B: Applications and Algorithms, 19, 43–63.
Gale, D. (1967). Review of Economic Studies, 34, 1–18.
Guo, X., & Hernandez-Lerma, O. (2005). Bernoulli, 11, 1009–1029.
Jasso-Fuentes, H., & Hernandez-Lerma, O. (2008). Applied Mathematics and Optimization, 57, 349–369.
Leizarowitz, A. (1985). Applied Mathematics and Optimization, 13, 19–43.
Leizarowitz, A. (1986). Applied Mathematics and Optimization, 14, 155–171.
Leizarowitz, A., & Mizel, V. J. (1989). Archive for Rational Mechanics and Analysis, 106, 161–194.
Lykina, V., Pickenhain, S., & Wagner, M. (2008). Journal of Mathematical Analysis and Applications, 340, 498–510.
Makarov, V. L., & Rubinov, A. M. (1977). Mathematical theory of economic dynamics and equilibria. New York: Springer.
Malinowska, A. B., Martins, N., & Torres, D. F. M. (2011). Optimization Letters, 5, 41–53.
Marcus, M., & Zaslavski, A. J. (1999). Israel Journal of Mathematics, 111, 1–28.
Marcus, M., & Zaslavski, A. J. (1999). Annales de l’institut Henri Poincaré (C) Analyse non linéaire, 16, 593–629.
Marcus, M., & Zaslavski, A. J. (2002). Annales de l’institut Henri Poincaré (C) Analyse non linéaire, 19, 343–370.
McKenzie, L. W. (1976). Econometrica, 44, 841–866.
Mordukhovich, B. S. (1990). Automation and Remote Control, 50, 1333–1340.
Mordukhovich, B. S., & Shvartsman, I. (2004). Optimal control, stabilization and nonsmooth analysis. Lecture Notes in Control and Information Sciences (pp. 121–132). Berlin: Springer.
Moser, J. (1986). Annales de l’institut Henri Poincaré (C) Analyse non linéaire, 3, 229–272.
Pickenhain, S., Lykina, V., & Wagner, M. (2008). Control and Cybernetics, 37, 451–468.
Rubinov, A. M. (1984). Journal of Soviet mathematics, 26, 1975–2012.
Samuelson, P. A. (1965). American Economic Review, 55, 486–496.
Tonelli, L. (1921). Fondamenti di calcolo delle variazioni. Bolonia: Zanicelli.
von Weizsacker, C. C. (1965). The Review of Economic Studies, 32, 85–104.
Zaslavski, A. J. (1987). Mathematics of the USSR-Izvestiya, 29, 323–354.
Zaslavski, A. J. (1995). SIAM Journal on Control and Optimization, 33, 1643–1660.
Zaslavski, A. J. (1995). SIAM Journal on Control and Optimization, 33, 1661–1686.
Zaslavski, A. J. (1996). Nonlinear Analysis, 27, 895–931.
Zaslavski, A. J. (1998). Abstract and Applied Analysis, 3, 265–292.
Zaslavski, A. J. (1999). Transactions of the AMS, 351, 211–231.
Zaslavski, A. J. (2000). Nonlinear Analysis, 42, 1465–1498.
Zaslavski, A. J. (2004). Nonlinear Analsis, 58, 547–569.
Zaslavski, A. J. (2004). Dynamical Systems and Applications, 13, 161–178.
Zaslavski, A. J. (2004). Journal of Mathematical Analysis and Applications, 296, 578–593.
Zaslavski, A. J. (2004). Optimization, 53, 377–391.
Zaslavski, A. J. (2006). Journal of the Australian Mathematical Society, 80, 105–130.
Zaslavski, A. J. (2006). Differential and Integral Equations, 19, 1177–1200.
Zaslavski, A. J. (2006). Turnpike properties in the calculus of variations and optimal control. New York: Springer.
Zaslavski, A. J. (2007). Nonlinear Analysis: Real World Applications, 8, 1186–1207.
Zaslavski, A. J., & Leizarowitz, A. (1997). Mathematics of Operations Research, 22, 726–746.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2013 Alexander J. Zaslavski
About this chapter
Cite this chapter
Zaslavski, A.J. (2013). Introduction. In: Structure of Solutions of Variational Problems. SpringerBriefs in Optimization. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6387-0_1
Download citation
DOI: https://doi.org/10.1007/978-1-4614-6387-0_1
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4614-6386-3
Online ISBN: 978-1-4614-6387-0
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)