Exponential Attractivity in a Delayed Almost Periodic Differential Neoclassical Growth System

• Duan, Lian ^[1] ; Di, Fengjun ^[1]
  1. [1] Anhui University of Science and Technology

     Anhui University of Science and Technology

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 18, Nº 2, 2019, págs. 653-665
• Idioma: inglés
• DOI: 10.1007/s12346-018-0305-0
• Enlaces
  • Texto completo
• Resumen

  • This paper investigates a delayed coupled almost periodic differential neoclassical growth system. By using the theory of dichotomy and differential inequality techniques, a new set of sufficient conditions is derived to guarantee the existence and exponential attractivity of almost periodic solutions for the addressed system. In addition, an example is given to exhibit the efficiency of the theoretical results. The obtained results are essentially new and extend previously known results.

• Referencias bibliográficas
  • 1. Day, R.: Irregular growth cycles. Am. Econ. Rev. 72, 406–414 (1982)
  • 2. Day, R.: The emergence of chaos from classical economic growth. Q. J. Econ. 98, 203–213 (1983)
  • 3. Matsumoto, A., Szidarovszky, F.: Delay differential neoclassical growth model. J. Econ. Behav. Organ 78, 272–289 (2011)
  • 4. Matsumoto, A., Szidarovszky, F.: Asymptotic behavior of a delay differential neoclassical growth model. Sustainability 5, 440–455 (2013)
  • 5. Chen, W., Wang, W.: Global exponential stability for a delay differential neoclassical growth model. Adv. Differ. Equ. 325, 1–9 (2014)
  • 6. Wang,W.: The exponential convergence for a delay differential neoclassical growth model with variable delay. Nonlinear Dyn. 86, 1875–1883...
  • 7. Ning, Z., Wang, W.: The existence of two positive periodic solutions for the delay differential neoclassical growth model. Adv. Differ....
  • 8. Long, Z., Wang, W.: Positive pseudo almost periodic solutions for a delayed differential neoclassical growth model. J. Differ. Equ. Appl....
  • 9. Duan, L., Huang, C.: Existence and global attractivity of almost periodic solutions for a delayed differential neoclassical growth model....
  • 10. Xu, Y.: New result on the global attractivity of a delay differential neoclassical growth model. Nonlinear Dyn. 89, 281–288 (2017)
  • 11. Shaikhet, L.: Stability of equilibriums of stochastically perturbed delay differential neoclassical growth model. Discret. Contin. Dyn....
  • 12. Gani, T.S., Alexander, G.S.: On almost periodic processes in uncertain impulsive delay models of price fluctuations in commodity markets....
  • 13. Stamov, G.T., Alzabut, J.O., Atanasov, P., Stamov, A.G.: Almost periodic solutions for an impulsive delay model of price fluctuations...
  • 14. Huang, C., Yang, Z., Yi, T., et al.: On the basins of attraction for a class of delay differential equations with non-monotone bistable...
  • 15. Fink, A.: Almost Periodic Differential Equations. Springer, Berlin (1974)
  • 16. Hale, J.K., Verduyn Lunel, S.M.: Introduction to Functional Differential Equations. Springer, New York (1993)