We consider an integro-diierential equation which arises in linear viscoelasticity. By making use of an equivalent inner product, it is shown that the underlying contraction semigroup is exponentially stable. We also show that the nite dimensional semigroups arising from a known approximation scheme are uniformly exponentially stable.

Uniformly stable semidiscrete approximation schemes are desirable for constructing approximate solutions of certain optimal control problems for distributed parameter systems. We discuss construction of uniformly stable spline-based approximation schemes for a scalar delay equation. A method is used which employs an equivalent inner product. Convergence is established via a `hybrid' Trotter-Kat...

Ovulation, Female Competition, and Product Choice: Hormonal Influences on Consumer Behavior Author(s): Kristina M. Durante, Vladas Griskevicius, Sarah E. Hill, Carin Perilloux, and Norman P. Li Reviewed work(s): Source: Journal of Consumer Research, Vol. 37, No. 6 (April 2011), pp. 921-934 Published by: The University of Chicago Press Stable URL: http://www.jstor.org/stable/10.1086/656575 . Acc...