Astronomy and Astrophysics – Astronomy
Scientific paper
Sep 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989avest..23..207m&link_type=abstract
Astronomicheskii Vestnik (ISSN 0320-930X), vol. 23, July-Sept. 1989, p. 207-219. In Russian.
Astronomy and Astrophysics
Astronomy
Cauchy Problem, Interplanetary Dust, Mathematical Models, Planetary Evolution, Algorithms, Differential Equations, Linear Equations, Neumann Problem, Roots Of Equations
Scientific paper
Basic equations for a mathematical model of the problem on the evolution of a self-gravitating gas-dust cluster are presented. Group methods are used to obtain boundary problem solutions for the Emden (1907) equation on the basis of corresponding solutions of the Cauchy problem. A complete study of the homogeneous Neuman problem for an ordinary linear differential equation of the second order for the radiation energy density was performed and a single solution to this problem was obtained.
Miasnikov V. P.
Titarenko V. I.
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