## A universal differential equation

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- by Lee A. Rubel PDF
- Bull. Amer. Math. Soc.
**4**(1981), 345-349

## References

- Steven B. Bank,
*Some results on analytic and meromorphic solutions of algebraic differential equations*, Advances in Math.**15**(1975), 41–62. MR**379940**, DOI 10.1016/0001-8708(75)90124-3 - A. Babakhanian,
*Exponentials in differentially algebraic extension fields*, Duke Math. J.**40**(1973), 455–458. MR**314807**, DOI 10.1215/S0012-7094-73-04038-6
[BBV] N. Basu, S. Bose, and T. Vijayaraghavan, A simple example for a theorem of Vijayaraghavan, J. London Math. Soc. 12 (1937), 250-252.
- Anatole Beck,
*Uniqueness of flow solutions of differential equations*, Recent advances in topological dynamics (Proc. Conf. Topological Dynamics, Yale Univ., New Haven, Conn., 1972; in honor of Gustav Arnold Hedlund), Lecture Notes in Math., Vol. 318, Springer, Berlin, 1973, pp. 30–50. MR**0409997**
[BO] E. Borel, Mémoire sur les séries divergentes, Ann. Sci. École Norm Sup. 16 (1899), 9-136.
- Philip Hartman,
*Ordinary differential equations*, John Wiley & Sons, Inc., New York-London-Sydney, 1964. MR**0171038** - James P. Jones,
*Undecidable Diophantine equations*, Bull. Amer. Math. Soc. (N.S.)**3**(1980), no. 2, 859–862. MR**578379**, DOI 10.1090/S0273-0979-1980-14832-6 - Marian Boykan Pour-el,
*Abstract computability and its relation to the general purpose analog computer (some connections between logic, differential equations and analog computers)*, Trans. Amer. Math. Soc.**199**(1974), 1–28. MR**347575**, DOI 10.1090/S0002-9947-1974-0347575-8 - Hartley Rogers Jr.,
*Theory of recursive functions and effective computability*, McGraw-Hill Book Co., New York-Toronto, Ont.-London, 1967. MR**0224462** - Claude E. Shannon,
*Mathematical theory of the differential analyzer*, J. Math. Phys. Mass. Inst. Tech.**20**(1941), 337–354. MR**6251**, DOI 10.1002/sapm1941201337
[V] T. Vijayaraghavan, Sur la croissance des fonctions définies par les équations dif-férentielles, C. R. Acad. Sci. Paris 194 (1932), 827-829.

## Additional Information

- Journal: Bull. Amer. Math. Soc.
**4**(1981), 345-349 - MSC (1980): Primary 34A34
- DOI: https://doi.org/10.1090/S0273-0979-1981-14910-7
- MathSciNet review: 609048