Abstract
The authors investigate the oscillatory behavior of all solutions of the fourth order functional differential equations \(\frac{d^{3}}{dt^{3}}(a(t)(\frac{dx(t)}{dt})^{\alpha})+q(t)f(x[g(t)])=0\) and \(\frac{d^{3}}{dt^{3}}(a(t)(\frac{dx(t)}{dt})^{\alpha})=q(t)f(x[g(t)])+p(t)h(x[\sigma(t)])\) in the case where ∫ ∞ a −1/α(s)ds<∞. The results are illustrated with examples.
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Grace, S.R., Agarwal, R.P. & Graef, J.R. Oscillation theorems for fourth order functional differential equations. J. Appl. Math. Comput. 30, 75–88 (2009). https://doi.org/10.1007/s12190-008-0158-9
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DOI: https://doi.org/10.1007/s12190-008-0158-9