Paper, 'On a class of dynamical problems' by Arthur Cayley Cayley explains that 'there are a class of dynamical problems which, so far as I am aware, have not been considered in a general manner. The problems referred to (which might be designated as continuous-impact problems) are those in which the system is continually taking into connexion with itself particles of infinitesimal mass (i. e. of a mass containing the increment of time dt as a factor), so as not itself to undergo any abrupt change of velocity, but to subject to abrupt changes of velocity the particles so taken into connexion'. He presents an equation of dynamics. A note in pencil reads 'For the Proceedings - proofs to A C'. Subject: Mathematics / Differential calculus Received and read 18 June 1857. A version of this paper was published in volume 8 of the Proceedings of the Royal Society as 'On a class of dynamical problems'. 16 May 1857