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Articles

On the global asymptotic stability and oscillation of solutions in a stochastic business cycle model

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Pages 1609-1620 | Received 02 Mar 2016, Accepted 15 Aug 2016, Published online: 14 Sep 2016

References

  • J.A.D. Appleby, X. Mao, and A. Rodkina, On stochastic stabilization of difference equations Discrete, Contin. Dyn. Syst. A 15(3) (2006), pp. 843–857.
  • J.A.D. Appleby, A. Rodkina, and H. Schurz, Non-positivity and oscillations of solutions of nonlinear stochastic difference equations with state-dependent noise, J. Differ. Equ. Appl. 16(7) (2010), pp. 807–830.
  • Y. Chow and H. Teicher, Iterated logarithm laws for weighted averages, Z. Wahrscheinlichkeitstheorie Verw. Geb. 26(2) (1973), pp. 87–94.
  • H.A. El-Morshedy, On the global attractivity and oscillations in a class of second-order difference equations from macroeconomics, J. Differ. Equ. Appl. 17(11) (2011), pp. 1643–1650.
  • J.R. Hicks, A contribution to the theory of the trade cycle, 2nd ed., Clarendon Press, Oxford, 1965.
  • L. Hurwicz, Stochastic models of economic fluctuations, Econometrica 12(2) (1944), pp. 114–124.
  • C.M. Kent and H. Sedaghat, Global stability and boundedness in xn+1=cxn+f(xn-xn-1), J. Differ. Equ. Appl. 10(13–15) (2004), pp. 1215–1227.
  • S. Li and W. Zhang, Bifurcation in a second-order difference equation from macroeconomics, J. Differ. Equ. Appl. 14(1) (2008), pp. 91–104.
  • E. Mellander, A. Vredin, and A. Warne, Stochastic trends and economic fluctuations in a small open economy, J. Appl. Econometrics 7(4) (1992), pp. 368–394.
  • P.A. Samuelson, Interaction between the multiplier analysis and the principle of acceleration, Rev. Econ. Stat. 21(2) (1939), pp. 75–78.
  • H. Sedaghat, A class of nonlinear second order difference equations from macroeconomics, Nonlinear Anal. 29(5) (1997), pp. 593–603.
  • L.E. Shaikhet, Stability in probability of nonlinear stochastic hereditary systems, Dynam. Systems Appl. 4(2) (1995), pp. 199–204.
  • L.E. Shaikhet, Construction of Lyapunov functionals for stochastic hereditary systems: a survey of some recent results, Math. Comput. Model. 36(6) (2002), pp. 691–716.
  • M. Shubik, A business cycle model with organized labor considered, Econometrica 20(2) (1952), pp. 284–294.
  • Z. Yu, E. Zhu, and J. Zeng, On the oscillation of solutions for a class of second-order nonlinear stochastic difference equations, Adv. Differ. Equ. 2014 (2014), Article No. 91.

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