Oscillation Criteria for Forced Second Order Mixed Type Quasilinear Delay Differential Equations

This article presents new oscillation criteria for the second-order delay differential equation $$(p(t) (x'(t))^{alpha})' + q(t) x^{alpha}(t - au) + sum_{i = 1}^{n} q_{i}(t) x^{alpha_{i}}(t - au) = e(t)$$ where $au geq 0$, $p(t) in C^1[0, infty)$, $q(t),q_{i}(t), e(t) in C[0, infty)$, $p(t) > 0$, $alpha_1 >dots > alpha_{m} > alpha > alpha_{m+1} > dots > alpha_{n} > 0 (n > mgeq 1)$, $alpha_1, dots , alpha_{n}$ and $alpha$ are ratio of odd positive integers. Without assuming that $q(t), q_{i}(t)$ and $e(t)$ are nonnegative, the results in [6,8] have been extended and a mistake in the proof of the results in [3] is corrected

Oscillation Criteria For Even Order Nonlinear Neutral Differential Equations With Mixed Arguments

This paper deals with the oscillation criteria for nth order nonlinear neutral  mixed type dierential equations

Oscillation of Noncanonical Second-Order Advanced Differential Equations via Canonical Transform

In this paper, we develop a new technique to deduce oscillation of a second-order noncanonical advanced differential equation by using established criteria for second-order canonical advanced differential equations. We illustrate our results by presenting two examples