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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-ph2014
On a Connection between the Maxwell System, the Extended Maxwell System, the Dirac Operator and Gravito-Electromagnetism
Rainer Picard, Sascha Trostorff, Marcus Waurick
Maxwell's equation, Dirac's equation and the equation of gravito-electromagnetism are shown to be particular instances of the extended Maxwell system. The equations are discussed i…