Bulletin of the American Mathematical Society

Author(s): Lee A. Rubel
Journal: Bull. Amer. Math. Soc. 4 (1981), 345-349.
MSC (1980): Primary 34A34
MathSciNet review: 609048
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[BA] S. Bank, Some results on analytic and meromorphic solutions of algebraic differential equations, Adv. in Math. 15 (1975), 41-62. MR 379940

[BAB] A. Babakhanian, Exponentials in differentially algebraic extension fields, Duke Math. J. 40 (1973), 455-458. MR 314807

[BBV] N. Basu, S. Bose, and T. Vijayaraghavan, A simple example for a theorem of Vijayaraghavan, J. London Math. Soc. 12 (1937), 250-252.

[BE] Anatole Beck, Uniqueness of flow solutions of differential equations, Recent Advances in Topological Dynamics (Proc. Conf. Topological Dynamics, Yale Univ., New Haven, Connecticut, 1972; in honor of Gustav Arnold Hedlund), Lecture Notes in Math., Vol. 318, Springer, Berlin, 1973, pp. 30 - 50. MR 409997

[BO] E. Borel, Mémoire sur les séries divergentes, Ann. Sci. École Norm Sup. 16 (1899), 9-136.

[H] Philip Hartman, Ordinary differential equations, Wiley, New York, 1964, 18ff. MR 171038

[J] James P. Jones, Undecidable diophantine equations, Bull. Amer. Math. Soc. (N. S.) 3 (1980), 859-862. MR 578379

[P-E] Marian B. 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

[R] Hartley Rogers, Jr., Theory of recursive functions and effective computability, McGraw-Hill, New York, 1967. MR 224462

[S] C. E. Shannon, Mathematical theory of the differential analyzer, J. Math. Phys. 20 (1941), 337-354. MR 6251

[V] T. Vijayaraghavan, Sur la croissance des fonctions définies par les équations dif-férentielles, C. R. Acad. Sci. Paris 194 (1932), 827-829.

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