Multiple solutions in systems of functional differential equations
Hippolyte d'Albis,
Emmanuelle Augeraud-Véron and
Hermen Jan Hupkes ()
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Hermen Jan Hupkes: Mathematical institute - Universiteit Leiden = Leiden University
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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: 2014-05
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Citations: View citations in EconPapers (2)
Published in Journal of Mathematical Economics, 2014, 52, pp.50-56. ⟨10.1016/j.jmateco.2014.03.010⟩
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Related works:
Journal Article: 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:hal:journl:hal-01015386
DOI: 10.1016/j.jmateco.2014.03.010
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