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Asymptotic behavior of positive solutions for a class of quasilinear elliptic equations with general nonlinearities

โœ Scribed by Adachi, Shinji; Shibata, Masataka; Watanabe, Tatsuya

Book ID
125838814
Publisher
American Institute of Mathematical Sciences
Year
2014
Tongue
English
Weight
452 KB
Volume
13
Category
Article
ISSN
1534-0392

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Asymptotic forms of positive solutions of quasilinear ordinary differential equations with singular nonlinearities
โœ Ken-ichi Kamo; Hiroyuki Usami ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 272 KB

In this paper we consider positive solutions of second order quasilinear ordinary differential equations with singular nonlinearities. We obtain asymptotic equivalence theorems for asymptotically superlinear solutions and decaying solutions. By using these theorems, exact asymptotic forms of such so