Solution of an infinite number of inequations depending on a continuous parameter and application to the solution of equations in dynamical astronomy

Details Solution of an infinite number of inequations depending on a continuous parameter and application to the solution of equations in dynamical astronomy Solution of an infinite number of inequations depending on a continuous parameter and application to the solution of equations in dynamical astronomy

Mar 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988cemec..45..105l&link_type=abstract

Celestial Mechanics, Volume 45, Issue 1-3, pp. 105-110

Astronomy and Astrophysics

Astrophysics

Scientific paper

The investigation of a large class of problems in physics and astrophysics requires the dtermination of the ranges of some parameters z, E, ... for which inequations of the form F(r; z, E, ... )≥0 are satisfied for all r in some interval )a, b(. The solution of this problem is given under the form of three general theorems and, resulting from them, a very simple numerical procedure. This can also be used to solve equations of the form df/dt=0 where f is some function of variables and derivatives of these variables (functions of t) with respect to t, for instance Vlasov-type equations in dynamics of flat stellar disks.

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