Global existence and boundedness for a class of second-order nonlinear differential equations

被引：6
|
作者：
Tiryaki, Aydin [1 ]
Zafer, Agacik [2 ]
机构：
[1] Izmir Univ, Fac Arts & Sci, Dept Math & Comp Sci, TR-35350 Izmir, Turkey
[2] Middle E Tech Univ, Dept Math, TR-06800 Ankara, Turkey
来源：
APPLIED MATHEMATICS LETTERS | 2013年 / 26卷 / 09期
关键词：
Differential equations; Second order; Global existence; Boundedness; Emden-Fowler equation; Half-linear equation;
D O I：
10.1016/j.aml.2013.04.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we obtain new conditions for the global existence and boundedness of solutions for nonlinear second-order equations of the form (r(t) vertical bar u'vertical bar(p-2) u')' + g(t, u, u')u' + a(t)f(u) = e(t), where p > 1 is a real constant. The results are applicable to well-known Emden-Fowler and Lienard type equations. An illustrative example is also provided. (C) 2013 Elsevier Ltd. All rights reserved.
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页码：939 / 944
页数：6
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