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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]

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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
Note: View the original document on HAL open archive server: https://hal.archives-ouvertes.fr/hal-01015386
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Published in Journal of Mathematical Economics, Elsevier, 2014, 52, pp.50-56. ⟨10.1016/j.jmateco.2014.03.010⟩

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Journal Article: Multiple solutions in systems of functional differential equations (2014) Downloads
Working Paper: Multiple Solutions in Systems of Functional Differential Equations (2014) Downloads
Working Paper: Multiple Solutions in Systems of Functional Differential Equations (2013) Downloads
Working Paper: Multiple Solutions in Systems of Functional Differential Equations (2013) Downloads
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