Multiple solutions in systems of functional differential equations

作者：d'Albis Hippolyte^*; Augeraud Veron Emmanuelle; Hupkes Hermen Jan

来源：Journal of Mathematical Economics, 2014, 52: 50-56.

DOI：10.1016/j.jmateco.2014.03.010

• Delay differential equations
• Advance differential equations
• Existence
• Indeterminacy

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.

• 出版日期2014-5