Geodesic
Some stability and boundedness results for the solutions of certain fourth order differential equations
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 44 (2005) no. 1, pp. 161-171.

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Sufficient conditions are established for the asymptotic stability of the zero solution of the equation (1.1) with $p\equiv 0$ and the boundedness of all solutions of the equation (1.1) with $p\ne 0$. Our result includes and improves several results in the literature ([4], [5], [8]).
Classification : 34C11, 34D20, 34D99
Keywords: differential equations of fourth order; boundedness; stability; Lyapunov functions 
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Tunç, Cemil. Some stability and boundedness results for the solutions of certain fourth order differential equations. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 44 (2005) no. 1, pp. 161-171. http://geodesic.mathdoc.fr/item/AUPO_2005__44_1_a13/