Asymptotic forms of positive solutions of quasilinear ordinary differential equations with singular nonlinearities |
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| Authors: | Ken-ichi Kamo Hiroyuki Usami |
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| Affiliation: | 1. Division of Mathematics, School of Medicine, Liberal Arts and Sciences, Sapporo Medical University, S1W17, Chuoku, Sapporo 060-8543, Japan;2. Department of Mathematics, Graduate School of Science, Hiroshima University, Higashi-Hiroshima, 739-8521, Japan |
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| 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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| Keywords: | 34D05 34E99 |
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