On the Boundedness and the Stability Results for the Solution of Certain Fourth order Differential Equations via the Intrinsic Method

Cemil TUNC; Aydin TIRYAKI

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Article Navigation > Applied Mathematics and Mechanics > 1996 > 17(11): 979-988

Cemil TUNC, Aydin TIRYAKI. On the Boundedness and the Stability Results for the Solution of Certain Fourth order Differential Equations via the Intrinsic Method[J]. Applied Mathematics and Mechanics, 1996, 17(11): 979-988.

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On the Boundedness and the Stability Results for the Solution of Certain Fourth order Differential Equations via the Intrinsic Method

Cemil TUNC¹,
Aydin TIRYAKI²

1.
Mathematics Department, Yüzüncü Yll Universify, 65080Van/TURKEY;
2.
Mathematics Departmenf, Hacettepe University, 06532 Begtepe Ankara/TURKEY

Received Date: 1996-02-16
Publish Date: 1996-11-15

Abstract

Abstract

In this paper, we first present constructing a Lyapunov function for (1.1) and then we show the asymptotic stability in the large of the trivial solution x=0 for case p o,and the boundedness result of the solutions of (1.1) for case p=0. These results improve sveral well-known results.
- nonlinear differential equations of the fourth order,
- Lyapunovfunction,
- stability,
- boundedness,
- intrinsic method