Tiryaki, A.Tuna, C.2025-05-102025-05-1019960174-474710.1524/anly.1996.16.4.3252-s2.0-84969558089https://doi.org/10.1524/anly.1996.16.4.325https://hdl.handle.net/20.500.14720/6238In 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.eninfo:eu-repo/semantics/closedAccessBoundednessIntrinsic Method,Lyapunov FunctionNonlinear Differential Equations Of The Fourth OrderStabilityArticle164N/AQ3325334