TY - GEN A1 - Lichtner, Mark A1 - Wolfrum, Matthias A1 - Yanchuk, Serhiy T1 - The spectrum of delay differential equations with large delay N2 - We show that the spectrum of linear delay differential equations with large delay splits into two different parts. One part, called the strong spectrum, converges to isolated points when the delay parameter tends to infinity. The other part, called the pseudocontinuous spectrum, accumulates near criticality and converges after rescaling to a set of spectral curves, called the asymptotic continuous spectrum. We show that the spectral curves and strong spectral points provide a complete description of the spectrum for sufficiently large delay and can be comparatively easily calculated by approximating expressions. KW - Delay differential equations KW - long delay KW - spectrum KW - pseudo-continuous spectrum KW - strong spectrum Y1 - 2009 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/644 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-6440 ER -