A note on asymptotic integration of second order nonlinear differential equations

被引：0
作者：
Mustafa, Octavian G.
Rogovchenko, Yuri V.
机构：
[1] Univ Craiova, Dept Math, Craiova, Romania
[2] Eastern Mediterranean Univ Famagusta, Dept Math, TRNC, Mersin 10, Turkey
来源：
BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA | 2006年 / 12卷 / 02期
关键词：
nonlinear differential equation; asymptotic integration; asymptotic expansion; fixed point theory;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The paper is concerned with the asymptotic behavior of solutions to a second order nonlinear differential equation u" + f(t, u) = 0. Using the Banach contraction principle, we establish global existence of solutions which satisfy u(t) = At + o(t(nu)) as t --> +infinity, where A is an element of R and nu is an element of (0, 1].
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页码：205 / 211
页数：7
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