Centre manifolds for partial differential equations with delays
- 1 January 1992
- journal article
- research article
- Published by Cambridge University Press (CUP) in Proceedings of the Royal Society of Edinburgh: Section A Mathematics
- Vol. 122 (3-4) , 237-254
- https://doi.org/10.1017/s0308210500021090
Abstract
Synopsis: A centre manifold theory for reaction-diffusion equations with temporal delays is developed. Besides an existence proof, we also show that the equation on the centre manifold is a coupled system of scalar ordinary differential equations of higher order. As an illustration, this reduction procedure is applied to the Hutchinson equation with diffusion.Keywords
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