Geodesic
A Lyapunov inequality and forced oscillations in general nonlinear nth order differential-difference equations†
Glasgow mathematical journal, Tome 18 (1977) no. 2, pp. 161-166

Voir la notice de l'article provenant de la source Cambridge University Press

The purpose of this paper is to consider the general nonlinear nth order differential-difference equationand derive an inequality of Lyapunov type. Later we use this inequality to find conditions to ensure that the oscillatory solutions of equation (1) tend to zero as t → ∞. The conditions that ensure that the oscillatory solutions of equation (1) tend to zero, also cause all solutions of equationto be non-oscillatory. 
Chen, Lu-San. A Lyapunov inequality and forced oscillations in general nonlinear nth order differential-difference equations†. Glasgow mathematical journal, Tome 18 (1977) no. 2, pp. 161-166. doi: 10.1017/S0017089500003219
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