On the continuity of pullback attractors for evolution processes

In this paper we give general results on the continuity of pullback attractors for nonlinear evolution processes. We then revisit results of [D. Li, P.E. Kloeden, Equi-attraction and the continuous dependence of pullback attractors on parameters, Stoch. Dyn. 4 (3) (2004) 373-384] which show that, under certain conditions, continuity is equivalent to uniformity of attraction over a range of parameters (""equi-attraction""): we are able to simplify their proofs and weaken the conditions required for this equivalence to hold. Generalizing a classical autonomous result [A.V. Babin, M.I. Vishik, Attractors of Evolution Equations, North Holland, Amsterdam, 1992] we give bounds on the rate of convergence of attractors when the family is uniformly exponentially attracting. To apply these results in a more concrete situation we show that a non-autonomous regular perturbation of a gradient-like system produces a family of pullback attractors that are uniformly exponentially attracting: these attractors are therefore continuous, and we can give an explicit bound on the distance between members of this family. (C) 2009 Elsevier Ltd. All rights reserved.

James Bond-temats musikaliska förändringar : Från Dr. No till Casino Royale

I denna uppsats har den musikaliska förändringen i James Bond-temat, sett över de 21 filmer som gjorts fram till denna uppsats genomförande, analyserats och tolkats. Syftet är att dela med mig av mina tankar och analyser om hur temat framförts och utvecklats, samt därmed också bidra till att utveckla kunskapen om James Bond-världen.Efter en litteraturbaserad del, där bakgrunden till James Bond-temats uppkomst behandlas, så analyseras sedan film för film i Bond-serien från Dr. No till Casino Royale. Analysen tar främst upp delarna synkronisering, instrumentering och influenser.Analyserna visar på att James Bond-temat i grund och botten bygger på samma melodi genom alla filmer, men också har förändrats i stor utsträckning i utförandet.

Grotesque in Dickens

Dickens's use of the grotesque in his novels undergoes a variety of changes. For convenience sake, and to better illustrate the developments of the grotesque, I divide the novels into three separate groups. The first group, the period of experiment, included the novels from Pickwick Papers through Barnaby Rudge; the second group, the period of transition, includes the novels from Martin Chuzzlewit through David Copperfield; and the third, the period of a new vision. included the novels from Bleak House through Edwin Drood. Basically, I see the development of the grotesque involving a change in Dickens's conceptions of society, as well as responding to complex changes in society itself; Dickens's vision loses much of its humor in the end, yet it also reflects a definite maturity.

Maine and the Hartford Convention: The Impact of the War of 1812 on the Politics of Maine and Massachusetts

The question of why the New England Federalists failed to force a confrontation with the national government has been a continuing historical controversy. I feel that the vigorous stance of the New England Democratic-Republicans particularly in Maine (then a part of Massachusetts), to radical Federalist schemes acted to restrain their opponents. In the final analysis my argument is that New England could not act without Maine. To paraphrase Federalist George Herbert of Ellsworth, on such a slender thread do the destinies of nations hang.