Oscillation Results for Third-Order Quasi-Linear Emden-Fowler Differential Equations with Unbounded Neutral Coefficients

Chatzarakis, George E.; Srinivasan, Radhakrishnan; Thandapani, Ethiraju

doi:10.2478/tmmp-2021-0028

Abstract

Some new oscillation criteria are obtained for a class of thirdorder quasi-linear Emden-Fowler differential equations with unbounded neutral coefficients of the form $(a (t) {(z ″ (t))}^{α})' + f (t) y^{λ} (g (t)) = 0,$ \[(a(t){(z(t))^\alpha })' + f(t){y^\lambda }(g(t)) = 0,\] where z(t) = y(t) + p(t)y(σ(t)) and α, λ are ratios of odd positive integers. The established results generalize, improve and complement to known results.

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Oscillation Results for Third-Order Quasi-Linear Emden-Fowler Differential Equations with Unbounded Neutral Coefficients

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