Multiple Solutions in Systems of Functional Differential Equations

Hippolyte d'Albis, Emmanuelle Augeraud-Véron and Herman Jan Hupkes

MPRA Paper from University Library of Munich, Germany

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)
JEL-codes: C61 C62 E13 (search for similar items in EconPapers)
Date: 2014-03-25
New Economics Papers: this item is included in nep-mac
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Citations: View citations in EconPapers (5)

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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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