A note on the stability and boundedness results of solutions of certain fourth order differential equations

被引:25
作者
Tunç, C [1 ]
机构
[1] Univ Yuzuncu Yil, Fac Educ, Dept Math, TR-65080 Van, Turkey
关键词
differential equations of fourth order; stability; boundedness;
D O I
10.1016/S0096-3003(03)00819-1
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The purpose of this paper is to investigate the asymptotic stability of the zero solution of x((4)) + phi(<(x)double over dot>)(x) triple over dot + f(x, <(x)over dot>)<(x)double over dot> + g(<(x)over dot>) h(x) = 0 with p not equal 0 and the boundedness of all solutions of x((4)) + phi(<(x)double over dot>)(x) triple over dot + f(x, <(x)over dot>)<(x)double over dot> + g(<(x)over dot>) h(x) = 0 with p not equal 0. The results obtained here revise the results in [Demonstratio Math. 31(1) (1998) 87] and improve and includes some results in the relevant literature. (C) 2003 Elsevier Inc. All rights reserved.
引用
收藏
页码:837 / 843
页数:7
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