Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
843876 | Nonlinear Analysis: Theory, Methods & Applications | 2008 | 13 Pages |
Abstract
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 solutions are determined. Furthermore, we can establish the uniqueness of decaying solutions as an application of our results.
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Authors
Ken-ichi Kamo, Hiroyuki Usami,