### Abstract

We examine the nonlinear boundary value problem formed by the Thomas-Fermi equation ″ = 3/2x-1/2, complemented with the boundary conditions (0) = 1 and (∞) = 0. We show that the value of ′ at the origin, which plays a crucial role in this problem, can be accurately bounded a priori, by exploiting integral properties of the Thomas-Fermi equation, and without any assumption on the functional dependence of (x). Extension of the approach to more general equations of the Emden-Fowler type is also briefly considered. © 2008 IOP Publishing Ltd.

Original language | English |
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Article number | 455204 |

Pages (from-to) | - |

Journal | Journal of Physics A: Mathematical and Theoretical |

Volume | 41 |

Issue number | 45 |

DOIs | |

Publication status | Published - 14 Nov 2008 |

Externally published | Yes |

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### All Science Journal Classification (ASJC) codes

- Mathematical Physics
- Modelling and Simulation
- Statistics and Probability
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics