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A Lyapunov inequality and forced oscillations in general nonlinear nth order differential-difference equations†

Published online by Cambridge University Press:  18 May 2009

Lu-San Chen
Lu-San Chen
Affiliation:
Department of Mathematics, National Central University, Chung-Li, Taiwan
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The purpose of this paper is to consider the general nonlinear nth order differential-difference equation

and 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 equation

to be non-oscillatory.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 18 , Issue 2 , July 1977 , pp. 161 - 166
Copyright
Copyright © Glasgow Mathematical Journal Trust 1977

References

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