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

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Tunc C.

APPLIED MATHEMATICS AND COMPUTATION, vol.155, no.3, pp.837-843, 2004 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 155 Issue: 3
• Publication Date: 2004
• Doi Number: 10.1016/s0096-3003(03)00819-1
• Journal Name: APPLIED MATHEMATICS AND COMPUTATION
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.837-843
• Van Yüzüncü Yıl University Affiliated: Yes

Abstract

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.