Asymptotic forms of positive solutions of quasilinear ordinary differential equations with singular nonlinearities

✍ Scribed by Ken-ichi Kamo; Hiroyuki Usami

• Publisher: Elsevier Science
• Year: 2008
• Tongue: English
• Weight: 272 KB
• Volume: 68
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/j.na.2006.12.045

✦ Synopsis

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.