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Multiple Solutions in Systems of Functional Differential Equations

This paper proposes conditions for the existence and uniqueness of solutions to systems of linear differential or algebraic equations with delays or advances, in which some variables may be non predetermined. The obtained conditions represent the counterpart of the Blanchard and Kahn conditions for the considered functional equations.

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File URL: ftp://mse.univ-paris1.fr/pub/mse/CES2013/13007.pdf
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Paper provided by Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne in its series Documents de travail du Centre d'Economie de la Sorbonne with number 13007.

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Length: 19 pages
Date of creation: Jan 2013
Date of revision:
Handle: RePEc:mse:cesdoc:13007
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  1. Boucekkine, Raouf & de la Croix, David & Licandro, Omar, 2002. "Vintage Human Capital, Demographic Trends, and Endogenous Growth," Journal of Economic Theory, Elsevier, vol. 104(2), pages 340-375, June.
  2. BOUCEKKINE, Raouf & FABBRI, Giorgio & GOZZI, Fausto, . "Maintenance and investment: complements or substitutes? A reappraisal," CORE Discussion Papers RP 2333, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  3. d'Albis, Hippolyte & Augeraud-Véron, Emmanuelle & Venditti, Alain, 2010. "Business cycle fluctuations and learning-by-doing externalities in a one-sector model," LERNA Working Papers 10.13.319, LERNA, University of Toulouse.
  4. Mauro Bambi, 2006. "Endogenous growth and time to build: the AK case," Computing in Economics and Finance 2006 77, Society for Computational Economics.
  5. Buiter, W, 1982. "Saddlepoint Problems in Continuous Time Rational Expectations Models : A General Method and Some Macroeconomic Examples," The Warwick Economics Research Paper Series (TWERPS) 200, University of Warwick, Department of Economics.
  6. d'Albis, Hippolyte & Augeraud-Véron, Emmanuelle & Hupkes, Hermen Jan, 2014. "Bounded interest rate feedback rules in continuous-time," Journal of Economic Dynamics and Control, Elsevier, vol. 39(C), pages 227-236.
  7. Mauro BAMBI & Giorgio FABBRI & Fausto GOZZI, 2010. "Optimal policy and consumption smoothing effects in the time-to-build AK model," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 2010029, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
  8. BOUCEKKINE, Raouf & DE LA CROIX, David & LICANDRO, Omar, . "Modelling vintage structures with DDEs: principles and applications," CORE Discussion Papers RP 1758, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  9. Jovanovic, Boyan & Yatsenko, Yuri, 2012. "Investment in vintage capital," Journal of Economic Theory, Elsevier, vol. 147(2), pages 551-569.
  10. repec:fda:fdaddt:2004-07 is not listed on IDEAS
  11. Raouf Boucekkine & Omar Licandro & Christopher Paul, . "Differential-Difference Equations in Economics: On the Numerical Solution of Vintage Capital Growth Models," Computing in Economics and Finance 1996 _036, Society for Computational Economics.
  12. Patrick Asea & Paul J. Zak, 1997. "Time-to-Build and Cycles," UCLA Economics Working Papers 767, UCLA Department of Economics.
  13. Fabbri, Giorgio & Gozzi, Fausto, 2008. "Solving optimal growth models with vintage capital: The dynamic programming approach," Journal of Economic Theory, Elsevier, vol. 143(1), pages 331-373, November.
  14. El-Hodiri, Mohamed A & Loehman, Edna & Whinston, Andrew B, 1972. "An Optimal Growth Model with Time Lags," Econometrica, Econometric Society, vol. 40(6), pages 1137-46, November.
  15. Gray, Malcolm R & Turnovsky, Stephen J, 1979. "Expectational Consistency, Informational Lags, and the Formulation of Expectations in Continuous Time Models," Econometrica, Econometric Society, vol. 47(6), pages 1457-74, November.
  16. Hippolyte d'Albis & Emmanuelle Augeraud-Véron & Hermen Jan Hupkes, 2012. "Discontinuous Initial Value Problems for Functional Differential-Algebraic Equations of Mixed Type," Documents de travail du Centre d'Economie de la Sorbonne 12043, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  17. repec:hal:journl:halshs-00717198 is not listed on IDEAS
  18. Mauro Bambi & Omar Licandro, 2011. "Endogenous Growth and Wave-Like Business Fluctuation," Working Papers 533, Barcelona Graduate School of Economics.
  19. Azariadis, Costas, 1981. "Self-fulfilling prophecies," Journal of Economic Theory, Elsevier, vol. 25(3), pages 380-396, December.
  20. Benhabib, Jess, 2004. "Interest Rate Policy in Continuous Time with Discrete Delays," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 36(1), pages 1-15, February.
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