Asymptotic decay of oscillatory solutions of second order differential equations with forcing term

Kusano, Takaŝi; Onose, Hiroshi

doi:10.1090/S0002-9939-1977-0457901-5

Asymptotic decay of oscillatory solutions of second order differential equations with forcing term
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by Takaŝi Kusano and Hiroshi Onose

Proc. Amer. Math. Soc. 66 (1977), 251-257

DOI: https://doi.org/10.1090/S0002-9939-1977-0457901-5

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Abstract:

The ordinary differential equation $(p(t)y’)’ + q(t)f(y) = r(t)$ and its companion functional differential equation are considered. Sufficient conditions are given which ensure that all oscillatory solutions tend to zero as $t \to \infty$.

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