Differential equations on the plane with given solutions.

Ramírez, R., and Sadovskaia, N.. "Differential equations on the plane with given solutions.." Collectanea Mathematica 47.2 (1996): 145-177. <http://eudml.org/doc/40250>.

@article{Ramírez1996,
abstract = {The aim of this paper is to construct the analytic vector fields with given as trajectories or solutions. In particular we construct the polynomial vector field from given conics (ellipses, hyperbola, parabola, straight lines) and determine the differential equations from a finite number of solutions.},
author = {Ramírez, R., Sadovskaia, N.},
journal = {Collectanea Mathematica},
keywords = {Ecuaciones diferenciales; Campos vectoriales; Comparación de soluciones; Trayectorias; inverse problem; analytic vector field in the plane; prescribed trajectories; polynomial vector field; complex domain},
language = {eng},
number = {2},
pages = {145-177},
title = {Differential equations on the plane with given solutions.},
url = {http://eudml.org/doc/40250},
volume = {47},
year = {1996},
}

TY - JOUR
AU - Ramírez, R.
AU - Sadovskaia, N.
TI - Differential equations on the plane with given solutions.
JO - Collectanea Mathematica
PY - 1996
VL - 47
IS - 2
SP - 145
EP - 177
AB - The aim of this paper is to construct the analytic vector fields with given as trajectories or solutions. In particular we construct the polynomial vector field from given conics (ellipses, hyperbola, parabola, straight lines) and determine the differential equations from a finite number of solutions.
LA - eng
KW - Ecuaciones diferenciales; Campos vectoriales; Comparación de soluciones; Trayectorias; inverse problem; analytic vector field in the plane; prescribed trajectories; polynomial vector field; complex domain
UR - http://eudml.org/doc/40250
ER -