# Differential equations on the plane with given solutions.

Collectanea Mathematica (1996)

- Volume: 47, Issue: 2, page 145-177
- ISSN: 0010-0757

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topRamírez, 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 -

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