Stability and boundedness properties of certain second-order differential equations

被引：16
作者：
Tunc, Cemil [1 ]
Sevli, Hamdullah [1 ]
机构：
[1] Yuzuncu Yil Univ, Fac Arts & Sci, Dept Math, TR-65080 Van, Turkey
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2007年 / 344卷 / 05期
关键词：
Hill equation; stability; boundedness;
D O I：
10.1016/j.jfranklin.2006.02.017
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we investigated the differential equation X A(t)F(X) = P(t, X, X) in two cases; (a) P = 0 and (b) P not equal 0. For the case (a), the stability of the solution X = 0 and the uniform boundedness of all solutions of this equation are investigated; in the case (b) the boundedness of all solutions of the same equation is discussed. (c) 2006 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：399 / 405
页数：7
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