Polynomial Riccati equations with algebraic solutions
Banach Center Publications (2002)
- Volume: 58, Issue: 1, page 219-231
- ISSN: 0137-6934
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topHenryk Żołądek. "Polynomial Riccati equations with algebraic solutions." Banach Center Publications 58.1 (2002): 219-231. <http://eudml.org/doc/281891>.
@article{HenrykŻołądek2002,
abstract = {We consider the equations of the form dy/dx = y²-P(x) where P are polynomials. We characterize the possible algebraic solutions and the class of equations having such solutions. We present formulas for first integrals of rational Riccati equations with an algebraic solution. We also present a relation between the problem of algebraic solutions and the theory of random matrices.},
author = {Henryk Żołądek},
journal = {Banach Center Publications},
keywords = {random matrices},
language = {eng},
number = {1},
pages = {219-231},
title = {Polynomial Riccati equations with algebraic solutions},
url = {http://eudml.org/doc/281891},
volume = {58},
year = {2002},
}
TY - JOUR
AU - Henryk Żołądek
TI - Polynomial Riccati equations with algebraic solutions
JO - Banach Center Publications
PY - 2002
VL - 58
IS - 1
SP - 219
EP - 231
AB - We consider the equations of the form dy/dx = y²-P(x) where P are polynomials. We characterize the possible algebraic solutions and the class of equations having such solutions. We present formulas for first integrals of rational Riccati equations with an algebraic solution. We also present a relation between the problem of algebraic solutions and the theory of random matrices.
LA - eng
KW - random matrices
UR - http://eudml.org/doc/281891
ER -
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