most citedA Hilbert Space Perspective on Ordinary Differential Equations with Memory Term

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math.CA2014

A differential equation with state-dependent delay from cell population biology

Philipp Getto, Marcus Waurick

We analyze a differential equation with a state-dependent delay that is implicitly defined via the solution of an ODE. The equation describes an established though little analyzed…

math.CA2012★ 2 cited

A Hilbert Space Perspective on Ordinary Differential Equations with Memory Term

Anke Kalauch, Rainer Picard, Stefan Siegmund +2

We discuss ordinary differential equations with delay and memory terms in Hilbert spaces. By introducing a time derivative as a normal operator in an appropriate Hilbert space, we…