On the solution manifolds for algebraic-delay systems
DOI:
https://doi.org/10.3842/umzh.v75i12.7663Keywords:
Delay differential equation, implicit state-dependent delay, solution manifoldAbstract
UDC 517.9
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 {\it 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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