The char-set method of polynomial equations-solving is naturally extended to the differential case which gives rise to an algorithmic method of solving arbitrary systems of algebrico-differential equations.As an illus...The char-set method of polynomial equations-solving is naturally extended to the differential case which gives rise to an algorithmic method of solving arbitrary systems of algebrico-differential equations.As an illustration of the method,the Devil's Problem of Pommaret is solved in details.展开更多
基金The present paper is in honor of late Professor R.Thom as a great mathematician, a great scientist,also a great thinker of modern times.
文摘The char-set method of polynomial equations-solving is naturally extended to the differential case which gives rise to an algorithmic method of solving arbitrary systems of algebrico-differential equations.As an illustration of the method,the Devil's Problem of Pommaret is solved in details.