Abstract
In the present chapter, impulsive models in economics are considered.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Accinelli, E., Brida, J.G.: Population growth and the Solow–Swan model. Int. J. Ecol. Econ. Stat. 8, 54–63 (2007)
Ahmad, S., Rao, M.R.M.: Asymptotically periodic solutions of N-competing species problem with time delays. J. Math. Anal. Appl. 186, 559–571 (1994)
Antoci, A., Galeotti, M., Russu, P.: Undesirable economic growth via agents’ self protection against environmental degradation. J. Frankl. Inst. 344, 377–390 (2007)
Arrow, K.J.: Price-quantity adjustments in multiple markets with rising demands. In: Proceedings of the Symposium on Mathematical Methods in the Social Science, pp. 3–15. Stanford University Press, Palo Arto (1960)
Belair, J., Mackey, M.C.: Consumer memory and price fluctuations in commodity markets: an integrodifferential model. J. Dyn. Differ. Equ. 1, 299–525 (1989)
Bellman, R., Cooke, K.L.: Differential-Difference Equations. Academic, New York (1963)
Boucekkine, R., Licandro, O., Christopher, P.: Differential-difference equations in economics: on the numerical solutions of vintage capital growth model. J. Econ. Dyn. Control 21, 347–362 (1997)
Burton, T.A.: Stability and Periodic Solutions of Ordinary and Functional Differential Equations. Academic, New York (1985)
Candenillas, A., Choulli, T., Taksar, M., Zhang, L.: Classical and impulse stochastic control for the optimization of the dividend and risk policies of an insurance firm. Math. Financ. 16, 181–202 (2006)
Cobb, C.W., Douglas, P.H.: A theory of production. Am. Econ. Rev. 18, 139–165 (1928)
Deardorff, A.: Growth paths in the Solow neoclassical growth model. Q. J. Econ. 84, 134–139 (1970)
Dejong, D., Ingram, B., Whiteman, C.: Keynesian impulses versus Solow residuals: identifying sources of business cycle fluctuation. J. Appl. Econ. 15, 311–329 (2000)
Dohtani, A.: Growth-cycle model of Solow–Swan type. I. J. Econ. Behav. Organ. 76, 428–444 (2010)
Draviam, T., Coleman, T.F., Li, Y.: Dynamic liquidation under market impact. Quant. Financ. 11, 69–80 (2011)
Emmenegger, G.-F., Stamova, I.M.: Shocks to capital intensity make the Solow equation an impulsive differential equation. Int. J. Differ. Equ. Appl. 6, 93–110 (2002)
Fanti, L., Manfredi, P.: The Solow’s model with endogenous population: a neoclassical growth cycle model. J. Econ. Dev. 28, 103–115 (2003)
Farahani, A.M., Grove, E.A.: A simple model for price fluctuation in a single commodity. Contemp. Math. 129, 97–103 (1992)
Ferrara, M.: A note on the Solow economic growth model with Richards population growth law. Appl. Sci. 13, 36–39 (2011)
Fowler, A.C., Mackey, M.C.: Relaxation oscillations in a class of delay differential equations. SIAM J. Appl. Math. 63, 299–323 (2002)
Guerrini, L.: The Solow–Swan model with a bounded population growth rate. J. Math. Econ. 42, 14–21 (2006)
Guerrini, L.: Global asymptotic stability of an economic growth model: an alternative proof. Int. J. Contemp. Math. Sci. 6, 1293–1296 (2011)
Hale, J.K.: Theory of Functional Differential Equations. Springer, New York (1977)
Hale, J.K., Verduyn Lunel, S.M.: Introduction to Functional Differential Equations. Springer, New York (1993)
He, X.Z., Zheng, M.: Dynamics of moving average rules in a continuous-time financial market model. J. Econ. Behav. Organ. 76, 615–634 (2010)
Izyumov, A., Vahaly, J.: New capital accumulation in transition economies: implications for capital-labor and capital-output ratios. Econ. Change Restruct. 39, 63–83 (2006)
Kolmanovskii, V.B., Myshkis, A.D.: Applied Theory of Functional Differential Equations. Kluwer Academic, Dordrecht (1992)
Kolmanovskii, V.B., Nosov, V.R.: Stability of Functional-Differential Equations. Academic, London (1986)
Küchler, U., Platen, E.: Time delay and noise explaining cyclical fluctuations in prices of commodities. Technical report, 195. Quantitative Finance Research Centre, University of Technology, Sydney (2007)
Lakshmikantham, V., Rao, M.R.M.: Theory of Integro-Differential Equations. Gordon and Breach, Lausanne (1995)
Lasota, A., Mackey, M.C.: Probabilistic Properties of Deterministic Systems. Cambridge University Press, London/New York (1985)
Lichtenberg, A.J., Lieberman, M.A.: Regular and Stochastic Motion. Springer, New York/ Berlin (1983)
Mackey, M.: Commodity price fluctuations: price dependent delays and nonlinearities as explanatory factors. J. Econ. Theory 48, 495–509 (1989)
Matsumoto, A., Szidarovszky, F.: Asymptotic behavior of a delay differential neoclassical growth model. Sustainability 5, 440–455 (2013)
McCulloch, J.R.: A Treatise on the Circumstances Which Determine the Rate of Wage and the Condition of the Labouring Classes. Longman, London (1854)
Moreno, D.: Prices, delay and the dynamics of trade. J. Econ. Theory 104, 304–339 (2002)
Muresan, A.S.: On some models of price fluctuations in a market economy. Studia Univ. Babes-Bolyai Math. 38, 15–19 (1993)
Muresan, A.S.: On a functional-differential equation from price theory. In: Proceedings of the IEEE 2009 International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, Timişoara, pp. 150–156 (2009)
Nerlove, M., Raut K.L.: Growth models with endogenous population: a general framework. In: Rosenzweig, M., Stark, O. (eds.) Handbook of Family and Population Economics, pp. 1117–1174. North-Holland, Amsterdam (1997)
Rus, A.T., Iancu, C.: A functional-differential model for price fluctuations in a single commodity market. Studia Univ. Babes-Bolyai Math. 2, 9–14 (1993)
Saaty, T.L., Joyce, M.: Thinking with Models: Mathematical Models in the Physical, Biological, and Social Sciences. Pergamon Press, Oxford (1981)
Seifert, G.: Nonlinear evolution equation with almost periodic time-dependence. SIAM J. Math. Anal. 18, 387–392 (1987)
Solow, R.: A contribution to the theory of economic growth. Q. J. Econ. 70, 65–94 (1956)
Stamov, G.T.: Almost Periodic Solutions of Impulsive Differential Equations. Springer, Berlin (2012)
Stamov, G.Tr., Alzabut, J.O., Atanasov, P., Stamov, A.G.: Almost periodic solutions for an impulsive delay model of price fluctuations in commodity markets. Nonlinear Anal. Real World Appl. 12, 3170–3176 (2011)
Stamov, G.Tr., Stamov, A.: On almost periodic processes in uncertain impulsive delay models of price fluctuations in commodity markets. Appl. Math. Comput. 219, 5376–5383 (2013)
Stamova, I.: Stability Analysis of Impulsive Functional Differential Equations. Walter de Gruyter, Berlin (2009)
Stamova, I.M., Emmenegger, J.F., Stamov, A.G.: Stability analysis of an impulsive Solow–Swan model with endogenous population. Int. J. Pure Appl. Math. 65, 243–255 (2010)
Stamova, I.M., Stamov, A.G.: Impulsive control on the asymptotic stability of the solutions of a Solow model with endogenous labor growth. J. Frankl. Inst. 349, 2704–2716 (2012)
Stamova, I.M., Stamov, A.G.: On the stability of the solutions of an impulsive Solow model with endogenous population. Econ. Change Restruct. 46, 203–217 (2013)
Ulussever, T.: A welfare policy analysis in the Turkish economy: a simulation based macroeconomic application of the deficit financing policies. J. Frankl. Inst. 348, 1416–1434 (2011)
Volterra, V.: Fluctuations in the abundance of a species considered mathematically. Nature 118, 558–560 (1926)
Yang, Y.: Establish of macroeconomics model with impulsive perturbation and analysis of its stability. In: Proceedings of the IEEE 2010 International Conference on Computer Application and System Modeling, Taiyuan, pp. V9-540–V9-543 (2010)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Stamova, I., Stamov, G. (2016). Impulsive Models in Economics. In: Applied Impulsive Mathematical Models. CMS Books in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-28061-5_6
Download citation
DOI: https://doi.org/10.1007/978-3-319-28061-5_6
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-28060-8
Online ISBN: 978-3-319-28061-5
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)