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Determination of convergence intervals of the series solutions of Emden-Fowler equations using polytropes and isothermal spheres. (English) Zbl 1220.35084
Summary: We consider the Emden-Fowler type of equations. We construct a recurrence relation for the components of the approximate solution and investigate the convergence conditions. The previous results on the convergence radius of the series solution are improved.
MSC:
35K05Heat equation
35Q79PDEs in connection with classical thermodynamics and heat transfer
85A15Galactic and stellar structure