Showing papers in "Quarterly Journal of Mathematics in 1977"
TL;DR: In this paper, it is shown that for given UQ and t 0 a solution u(t) with u(ro)= u0 exists for all times t 0, t 0; typically u takes values in some Banach space X and we will assume that this is the case.
Abstract: OVER the last 20 years a large literature has developed concerning evolution equations which for certain initial data possess solutions that do not exist for all time. The bulk of this literature relates to problems arising from partial differential equations. To establish nonexistence it is customary to argue by contradiction. One supposes that for given UQ and t0 a solution u(t) with u(ro)= u0 exists for all times t^t0; typically u takes values in some Banach space X and we will assume that this is the case. A function p : X —» R is then constructed, and by use of differential inequalities it is shown that lim p(u(()) = ° for some tle(t0, °°). This usually
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TL;DR: In this paper, a hypodermic syringe is provided with aspiration effect and comprises a cylindrical member or ampoule, a piston, an aspiration rod and an actuating member connected to the piston.
Abstract: A hypodermic syringe is provided with aspiration effect and comprises a cylindrical member or ampoule, a piston, a piston rod and an aspiration rod, which is connected to the piston. The aspiration rod extends through a channel in the piston rod and is at its remote end from the piston provided with or connected to an actuating member. By means of said actuating member the aspiration rod can be displaced in the channel in the piston rod, thereby displacing the piston or a part of the piston relative to the ampoule, thus performing aspiration.