The effect of retarded actions on nonlinear oscillations

Sficas, Y. G.; Staïkos, V. A.

doi:10.1090/S0002-9939-1974-0355268-1

The effect of retarded actions on nonlinear oscillations
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by Y. G. Sficas and V. A. Staïkos

Proc. Amer. Math. Soc. 46 (1974), 259-264

DOI: https://doi.org/10.1090/S0002-9939-1974-0355268-1

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Abstract:

We study the oscillatory and asymptotic behavior of nonlinear retarded differential equations of the form ${x^{(n)}}(t) + {( - 1)^{n + 1}}p(t) \cdot \phi (x[g(t)]) = 0$ under certain conditions which do not hold in the particular case $g(t) \equiv t$ of ordinary differential equations.

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