Discontinuous initial value problems for functional differential-algebraic equations of mixed type

DOI10.1016/J.JDE.2012.06.012zbMath1258.34152OpenAlexW3021371691MaRDI QIDQ444918

Hippolyte d'Albis, Emmanuelle Augeraud-Véron, Hermen Jan Hupkes

Publication date: 24 August 2012

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2012.06.012

zbMATH Keywords

initial value problemsinterest ratesindeterminacyfunctional differential equationsadvanced and retarded argumentsimpulsive equations.

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45) Control problems for functional-differential equations (34K35) General theory of functional-differential equations (34K05) Economic dynamics (91B55) Implicit functional-differential equations (34K32)

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Exponential dichotomies for nonlocal differential operators with infinite range interactions ⋮ Stability and determinacy conditions for mixed-type functional differential equations ⋮ Endogenous growth and wave-like business fluctuations ⋮ Multiple solutions in systems of functional differential equations ⋮ Optimal pollution control with distributed delays ⋮ Bounded interest rate feedback rules in continuous-time ⋮ Endogenous growth with addictive habits ⋮ Spatial externality and indeterminacy ⋮ Local determinacy of prices in an overlapping generations model with continuous trading ⋮ Analytical solutions for fractional partial delay differential-algebraic equations with Dirichlet boundary conditions defined on a finite domain ⋮ Existence and uniqueness results for fuzzy linear differential-algebraic equations

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