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Structure of positive radial solutions including singular solutions to Matukuma's equation

โœ Scribed by Yotsutani, Shoji; Yanagida, Eiji; Morishita, Hiroshi


Book ID
125836620
Publisher
American Institute of Mathematical Sciences
Year
2005
Tongue
English
Weight
238 KB
Volume
4
Category
Article
ISSN
1534-0392

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Structure of positive radial solutions t
โœ Claus Dohmen; Munemitsu Hirose ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 711 KB

From Section 3 in [4], (IVP) has a unique solution u(r) ~ cZ([0, oo)) with ur(0) = 0, which is denoted by u(r; ~). Moreover, it is easy to see that this solution decreases as long as it is positive. If it stays positive for all r > 0, then we want to determine the precise asymptotic behaviour. In th