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Oscillation of certain fourth-order functional differential equations

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Abstract

Some new criteria for the oscillation of fourth-order nonlinear functional differential equations of the form

$$\frac{{d^2 }}{{dt^2 }}\left( {a(t)\left( {\frac{{d^2 x(t)}}{{dt^2 }}} \right)^\alpha } \right) + q(t)f(x[g(t)]) = 0, \alpha > 0,$$

are established.

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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, No. 3, pp. 291–313, March, 2007.

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Agarwal, R.P., Grace, S.R. & O’Regan, D. Oscillation of certain fourth-order functional differential equations. Ukr Math J 59, 315–342 (2007). https://doi.org/10.1007/s11253-007-0021-4

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  • DOI: https://doi.org/10.1007/s11253-007-0021-4

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