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On Analytical Solution of Ambartsumian Equation

期刊

NATIONAL ACADEMY SCIENCE LETTERS-INDIA
卷 40, 期 4, 页码 291-293

出版社

NATL ACAD SCIENCES INDIA
DOI: 10.1007/s40009-017-0565-2

关键词

Ambartsumian equation; Milky way; Daftardar-Gejji and Jafari Method; Convergence of series

资金

  1. NBHM, Department of Atomic Energy Mumbai, India [2148(6)/2013/NBHM(R.P.)/R D II/689]
  2. CSIR, New Delhi [25(0245)/15/EMR-II]

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The Ambartsumian equation is used in the theory of surface brightness in milky way. This equation is a linear differential equation involving a proportional delay term. In this paper we use the Daftardar-Gejji and Jafari method to obtain analytical solution of Ambartsumian equation. The solution is provided in the form of a power series which is convergent for all reals. We prove the convergence of this series and plot solution graphs.

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