Inverse problems in the theory of analytic planar vector fields.

Natalia Sadovskaia; Rafael O. Ramírez

Revista Matemática Iberoamericana (1998)

  • Volume: 14, Issue: 3, page 481-517
  • ISSN: 0213-2230

Abstract

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In this communication we state and analyze the new inverse problems in the theory of differential equations related to the construction of an analytic planar verctor field from a given, finite number of solutions, trajectories or partial integrals.Likewise, we study the problem of determining a stationary complex analytic vector field Γ from a given, finite subset of terms in the formal power series (...).

How to cite

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Sadovskaia, Natalia, and Ramírez, Rafael O.. "Inverse problems in the theory of analytic planar vector fields.." Revista Matemática Iberoamericana 14.3 (1998): 481-517. <http://eudml.org/doc/39556>.

@article{Sadovskaia1998,
abstract = {In this communication we state and analyze the new inverse problems in the theory of differential equations related to the construction of an analytic planar verctor field from a given, finite number of solutions, trajectories or partial integrals.Likewise, we study the problem of determining a stationary complex analytic vector field Γ from a given, finite subset of terms in the formal power series (...).},
author = {Sadovskaia, Natalia, Ramírez, Rafael O.},
journal = {Revista Matemática Iberoamericana},
keywords = {Campos vectoriales; Ecuaciones diferenciales; Funciones analíticas; Curvas algebraicas planas; Funciones integrales; inverse problems in differential equations; analytic planar vector fields; polynomial vector fields; quadratic planar vector fields; analytic first integral},
language = {eng},
number = {3},
pages = {481-517},
title = {Inverse problems in the theory of analytic planar vector fields.},
url = {http://eudml.org/doc/39556},
volume = {14},
year = {1998},
}

TY - JOUR
AU - Sadovskaia, Natalia
AU - Ramírez, Rafael O.
TI - Inverse problems in the theory of analytic planar vector fields.
JO - Revista Matemática Iberoamericana
PY - 1998
VL - 14
IS - 3
SP - 481
EP - 517
AB - In this communication we state and analyze the new inverse problems in the theory of differential equations related to the construction of an analytic planar verctor field from a given, finite number of solutions, trajectories or partial integrals.Likewise, we study the problem of determining a stationary complex analytic vector field Γ from a given, finite subset of terms in the formal power series (...).
LA - eng
KW - Campos vectoriales; Ecuaciones diferenciales; Funciones analíticas; Curvas algebraicas planas; Funciones integrales; inverse problems in differential equations; analytic planar vector fields; polynomial vector fields; quadratic planar vector fields; analytic first integral
UR - http://eudml.org/doc/39556
ER -

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