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Zbl 1082.34514
Tunç, Cemil
Boundedness of solutions of a third-order nonlinear differential equation.
(English)
[J] JIPAM, J. Inequal. Pure Appl. Math. 6, No. 1, Paper No. 3, 6 p., electronic only (2005). ISSN 1443-5756/e

Summary: Sufficient conditions are established for the boundedness of all solutions of $$\dddot x+f(x,\dot x,\ddot x)\ddot x+g(x,\dot x)+h(x,\dot x,\ddot x)=p(t,x,\dot x,\ddot x).$$ We also present some sufficient conditions, which ensure that the limits of first- and second-order derivatives of the solutions of the equation tend to zero as $t\to\infty$.
MSC 2000:
*34C11 Qualitative theory of solutions of ODE: Growth, etc.

Cited in: Zbl 1173.34321

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