Differential equations with state-dependent delays specify a semiflow of continuously differentiable solution operators, in general, only on an associated submanifold of the Banach space C1([−h, 0],ℝn). We extend a recent result on the simplicity of these solution manifolds to systems in which the delay is given by the state only implicitly in an extra equation. These algebraic delay systems appear in various applications.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 75, No. 12, pp. 1591–1607, December, 2023. Ukrainian DOI: https://doi.org/10.3842/umzh.v75i12.7663.
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Walther, HO. On the Solution Manifolds for Algebraic-Delay Systems. Ukr Math J 75, 1801–1821 (2024). https://doi.org/10.1007/s11253-024-02293-z
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DOI: https://doi.org/10.1007/s11253-024-02293-z