@article{VMUMM_2021_2_a1,
author = {A. V. Tiulenev},
title = {An example of noncomputability of exponents of a system of ordinary differential equations},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {10--15},
year = {2021},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2021_2_a1/}
}
TY - JOUR AU - A. V. Tiulenev TI - An example of noncomputability of exponents of a system of ordinary differential equations JO - Vestnik Moskovskogo universiteta. Matematika, mehanika PY - 2021 SP - 10 EP - 15 IS - 2 UR - http://geodesic.mathdoc.fr/item/VMUMM_2021_2_a1/ LA - ru ID - VMUMM_2021_2_a1 ER -
A. V. Tiulenev. An example of noncomputability of exponents of a system of ordinary differential equations. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2021), pp. 10-15. http://geodesic.mathdoc.fr/item/VMUMM_2021_2_a1/
[1] Krupskii V.N., Plisko V.E., Teoriya algoritmov, Izdatelskii tsentr “Akademiya”, M., 2009
[2] Uspenskii V.A., Lektsii o vychislimykh funktsiyakh, Fizmatgiz, M., 1960
[3] Specker E., “Nicht konstructiv beweisbare Saetze der Analysis”, J. Symbol. Logic., 14:3 (1949), 145–158 | DOI | MR | Zbl
[4] Pour-El M.B., Richards J.I., Computability in Analysis and Physics, Springer-Verlag, Berlin–Heidelberg, 1989 | MR | Zbl
[5] Henrici P., Discrete variable methods in ordinary differential equations, Wiley, N.Y., 1962 | MR | Zbl
[6] Pour-El M.B., Richards J.I., “A computable ordinary differential equation which possesses no computable solution”, Ann. Math. Log., 17 (1979), 61–90 | DOI | MR | Zbl
[7] Bylov B.F., Vinograd R.E., Grobman D.M., Nemytskii V.V., Teoriya pokazatelei Lyapunova, Nauka, M., 1966