Boundedness and Stability Properties of Solutions of Certain Fourth Order Differential Equations Via the Intrinsic Method
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Date
1996
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Abstract
In this paper, firstly a Lyapunov function is derived for (1.2) by applying the intrinsic method introduced by Chin[6], Secondly equation (1.2) is examined in two cases: (i) P s 0, (ii) P ∗ 0. For case (i) the asymptotic stability in the large of the trivial solution x = 0 is investigated and for case (ii) the boundedness results are obtained for solutions of equation (1.2). These results improve and include several well-known results. © 1996, Oldenbourg Wissenschaftsverlag GmbH, Rosenheimer Str. 145, 81671 München. All rights reserved.
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Keywords
Boundedness, Intrinsic Method,, Lyapunov Function, Nonlinear Differential Equations Of The Fourth Order, Stability
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WoS Q
N/A
Scopus Q
Q3
Source
Analysis (Germany)
Volume
16
Issue
4
Start Page
325
End Page
334
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