Nonlinear oscillations of fourth order quasilinear ordinary differential equations

We consider fourth order quasilinear ordinary differential equations. Firstly, we classify positive solutions into four types according to their asymptotic properties. Then we derive existence theorems of positive solutions belonging to each type. Using these results, we can obtain an oscillation cr...

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Vydané v:	Acta mathematica Hungarica Ročník 132; číslo 3; s. 207 - 222
Hlavní autori:	Kamo, Ken-ichi, Usami, Hiroyuki
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Dordrecht Springer Netherlands 01.08.2011
Predmet:	Mathematics Mathematics and Statistics oscillation differential equation asymptotic behavior higher order 34E05 34D05
ISSN:	0236-5294, 1588-2632
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