This special issue on Differential Algebra and Differential Equations was the idea of Bob Caviness and Bruno Buchberger and originated from a special year in differential algebra that was organized by Raymond Hoobler and William Sit at The City College of New York during 1995–1996. It may interest the reader to recall the research environment under which the special year was started. As is well...

It is known, due to Mordukhai-Boltovski, Ritt, Prelle, Singer, Christopher and others, that if a given rational ODE has a Liouvillian first integral then the corresponding integrating factor of the ODE must be of a very special form of a product of powers and exponents of irreducible polynomials. These results lead to a partial algorithm for finding Liouvillian first integrals. However, there a...

Motivated by the problem of the existence of bounds on degrees and orders in checking primality of radical (partial) differential ideals, the nonstandard methods of van den Dries and Schmidt [“Bounds in the theory of polynomial rings over fields. A nonstandard approach.”, Inventionnes Mathematicae, 76:77–91, 1984] are here extended to differential polynomial rings over differential fields. Amon...

W. L. Ayres, C. R. Ballantine, J. P. Ballantine, A. A. Bennett, Eisenhart, Fiske, Fite, Fort, Frink, Gafafer, Garretson, Gill, R. L. Green, Gronwall, Hansell, Hedlund, Hille, Huntington, Joffe, Kasner, Kormes, Lamond, Lamson, Langford, Langman, Littauer, Maria, Meyer, H. H. Mitchell, L. T. Moore, T. W. Moore, Murnaghan, Norwood, B. C. Patterson, Pfeiffer, Pierpont, R. G. Putnam, Rainich, Rauden...