The paper investigates the equation (1.1) in two cases:(i) p ≡ 0,(ii) p(≠ 0) is bounded. For the case(i) the asymptotic stability (in the large) of the trivial solution x=0 is established, and for the case(ii) a boundedness result is deduced with a bound dependent on the initial conditions. These results on (1.1) are comparable in generality to known results of third and fourth order systems.
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Entrata in Redazione il 27 marzo 1974.
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Chukwu, E.N. On the boundedness and stability properties of solutions of some differential equations of the fifth order. Annali di Matematica 106, 245–258 (1975) doi:10.1007/BF02415032
- Differential Equation
- Fourth Order
- Asymptotic Stability
- Stability Property
- Trivial Solution