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Annali di Matematica Pura ed Applicata

, Volume 119, Issue 1, pp 25–40 | Cite as

On the oscillatory and asymptotic behavior of the bounded solutions of differential equations with deviating arguments

  • Ch. G. Philos
Article

Summary

This paper is dealing with the oscillatory and asymptotic behavior of the bounded solutions of n-th order (n>1) differential equations with deviating arguments involving the so called r-derivatives D r (i)x (i=0, 1, ..., n) of the unknown function x defined by
, where ri (i=1, 2, ..., n−1) are positive continuous functions on the interval [t 0 , ∞). The fundamental purpose is to find a necessary and sufficient condition in order to have at least one (bounded nonoscillatory) solution whose the limit at ∞ exists inR−{0}.

Keywords

Differential Equation Continuous Function Asymptotic Behavior Unknown Function Positive Continuous Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Fondazione Annali di Matematika Pura ed Applicata 1979

Authors and Affiliations

  • Ch. G. Philos
    • 1
  1. 1.IoanninaGreece

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