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Construcción de campos vectoriales en base a integrales parciales dadas.

Rafael Ramírez;  Natalia Sadovskaia — 1989

Collectanea Mathematica

A mathematical model based on the principle of less contractions is proposed for the construction of velocity vector fields and forces from given integrals. Necessary algebraic conditions for the solution of the problem are deduced. In addition, the velocity vector field is extended in a neighbourhood of the integrals. Applications and examples are given.

Inverse problems in the theory of analytic planar vector fields.

Natalia Sadovskaia;  Rafael O. Ramírez — 1998

Revista Matemática Iberoamericana

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 (...).

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