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. 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.

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Year of publication:	2014-03-25
Authors:	d'Albis, Hippolyte ; Augeraud-Véron, Emmanuelle ; Hupkes, Herman Jan
Institutions:	Volkswirtschaftliche Fakultät, Ludwig-Maximilians-Universität München
Subject:	Delay Differential Equations \| Advance Differential Equations \| Existence \| Indeterminacy

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Extent:	application/pdf
Series:	MPRA Paper.
Type of publication:	Book / Working Paper
Classification:	C61 - Optimization Techniques; Programming Models; Dynamic Analysis ; C62 - Existence and Stability Conditions of Equilibrium ; E13 - Neoclassical
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011107980