On the stability of the solutions of certain fifth order non-autonomous differential equations

A. I. Sadek

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Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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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 $p \neq 0$ . Our result includes and improves several results in the literature ([4], [5], [8]).

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