Abstract
Stability of a system is defined as the ability of the system to maintain or restore its equilibrium when acted upon by forces tending to displace it. Hence, the study and understanding of equilibrium problems is incomplete without an investigation into the stability of the underlying systems.
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References
Dafermos, S., “Sensitivity analysis in variational inequalities,” Mathematics of Operations Research 13 (1988) 421–434.
Dafermos, S., and Nagurney, A., “Sensitivity analysis for the asymmetric network equilibrium problem,” Mathematical Programming 28 (1984a) 174–184.
Dafermos, S., and Nagurney, A., “Sensitivity analysis for the general spatial economic equilibrium problem,” Operations Research 32 (1984b) 1069–1086.
Hirsch, M. W., and Smale, S., Differential Equations, Dynamical Systems, and Linear Algebra, Academic Press, New York, 1974.
Kyparisis, J., “Sensitivity analysis framework for variational inequalities,” Mathematical Programming 38 (1987) 203–213.
La Salle, J., and Lefschetz, S., Stability by Liapunov’s Direct Method with Applications, Academic Press, New York, 1961.
Perko, L., Differential Equations and Dynamical Systems, Springer-Verlag, New York, 1991.
Qiu, Y., and Magnanti, T. L., “Sensitivity analysis for variational inequalities,” Mathematics of Operations Research 17 (1992) 61–70.
Rockafellar, R. T., Convex Analysis, Princeton University Press, Princeton, New Jersey, 1972.
Zhang, D., and Nagurney, A., “On the stability of projected dynamical systems,” Journal of Optimization Theory and Applications 85 (1995) 97–124.
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© 1996 Springer Science+Business Media New York
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Nagurney, A., Zhang, D. (1996). Stability Analysis. In: Projected Dynamical Systems and Variational Inequalities with Applications. International Series in Operations Research & Management Science, vol 2. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-2301-7_3
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DOI: https://doi.org/10.1007/978-1-4615-2301-7_3
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-5972-2
Online ISBN: 978-1-4615-2301-7
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