Null sets for algebraic differential equations
β Scribed by Andrew M. Bruckner; Lee A. Rubel
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 351 KB
- Volume
- 147
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
## Abstract Index sets are used to measure the complexity of properties associated with the differentiability of real functions and the existence of solutions to certain classic differential equations. The new notion of a locally computable real function is introduced and provides several examples
We consider a linear differential equation Ly = 0 of order n with coefficients in C(z) whose differential Galois group G is supposed to be reductive and unimodular. We give an algorithm for the construction of a system of generators of the ideal of algebraic relations, with coefficients in C(z), amo