Multiple solutions in systems of functional differential equations
d’Albis, Hippolyte,
Emmanuelle Augeraud-Véron and
Hermen Jan Hupkes
Authors registered in the RePEc Author Service: Hippolyte d'Albis
Journal of Mathematical Economics, 2014, vol. 52, issue C, 50-56
Abstract:
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. These conditions represent the counterpart to the Blanchard and Kahn conditions for the functional equations under consideration. To illustrate the mathematical results, applications to an overlapping generations model and a time-to-build model are developed.
Keywords: Delay differential equations; Advance differential equations; Existence; Indeterminacy (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (4)
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Related works:
Working Paper: Multiple solutions in systems of functional differential equations (2014)
Working Paper: Multiple solutions in systems of functional differential equations (2014)
Working Paper: Multiple Solutions in Systems of Functional Differential Equations (2014)
Working Paper: Multiple Solutions in Systems of Functional Differential Equations (2013)
Working Paper: Multiple Solutions in Systems of Functional Differential Equations (2013)
Working Paper: Multiple Solutions in Systems of Functional Differential Equations (2013)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:mateco:v:52:y:2014:i:c:p:50-56
DOI: 10.1016/j.jmateco.2014.03.010
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